WORST_CASE(?, O(n^2)) 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, Ar_9, Ar_10, Ar_11) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11)) (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11)) (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11)) (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_3, Ar_5, Ar_5, Ar_0, Ar_1, Ar_8, Ar_9, Ar_10, Ar_11)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_3, Ar_5, Ar_5, Ar_0, Ar_1, Ar_8, Ar_9, Ar_10, Ar_11)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_3, Ar_5, Ar_5, Ar_0, Ar_1, Ar_8, Ar_9, Ar_10, Ar_11)) (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_3, Ar_5, Ar_5, Fresh_8, Fresh_9, Fresh_8, Fresh_9, Ar_10, Ar_11)) (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f8(Fresh_4, Fresh_5, Ar_3, Fresh_6, Ar_5, Fresh_7, Ar_0, Ar_1, Fresh_6, Fresh_7, Fresh_4, Fresh_5)) (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f8(Fresh_0, Fresh_1, Ar_3, Fresh_2, Ar_5, Fresh_3, Ar_0, Ar_0, Fresh_2, Fresh_3, Fresh_0, Fresh_1)) [ Ar_0 = Ar_1 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_3, Ar_5, Ar_5, Ar_0, Ar_1, Ar_8, Ar_9, Ar_10, Ar_11)) (Comp: ?, Cost: 1) f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_3, Ar_5, Ar_5, Ar_0, Ar_1, Ar_8, Ar_9, Ar_10, Ar_11)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_3, Ar_5, Ar_5, Ar_0, Ar_1, Ar_8, Ar_9, Ar_10, Ar_11)) (Comp: ?, Cost: 1) f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_3, Ar_5, Ar_5, Ar_0, Ar_1, Ar_8, Ar_9, Ar_10, Ar_11)) [ Ar_0 >= Ar_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, Ar_9, Ar_10, Ar_11) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11)) [ 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_3, Ar_5]. We thus obtain the following problem: 2: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_3, Ar_5)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) (Comp: ?, Cost: 1) f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_4, Fresh_5, Fresh_6, Fresh_7)) (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5)) (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5)) (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Ar_0, Ar_1, Ar_3, Ar_5)) (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_3, Ar_5)) 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_3, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_3, Ar_5)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) (Comp: ?, Cost: 1) f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_4, Fresh_5, Fresh_6, Fresh_7)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5)) (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Ar_0, Ar_1, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_3, Ar_5)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 1 Pol(f0) = 1 Pol(f4) = 1 Pol(f3) = 1 Pol(f8) = 0 orients all transitions weakly and the transition f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_3, Ar_5)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) (Comp: ?, Cost: 1) f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_4, Fresh_5, Fresh_6, Fresh_7)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5)) (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Ar_0, Ar_1, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_3, Ar_5)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f4) = 2*V_1 - 2*V_2 + 1 Pol(f3) = 2*V_1 - 2*V_2 + 2 and size complexities S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_3, Ar_5))", 0-0) = Ar_0 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_3, Ar_5))", 0-1) = Ar_1 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_3, Ar_5))", 0-3) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5))", 0-0) = Ar_0 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5))", 0-1) = Ar_1 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5))", 0-3) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Ar_0, Ar_1, Ar_3, Ar_5))", 0-0) = Ar_0 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Ar_0, Ar_1, Ar_3, Ar_5))", 0-1) = Ar_1 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Ar_0, Ar_1, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Ar_0, Ar_1, Ar_3, Ar_5))", 0-3) = Ar_5 S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = Ar_0 + Ar_5 + 1 S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = ? S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = Ar_3 S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = Ar_5 S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-0) = ? S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-1) = ? S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_3 S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-3) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-0) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-1) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-3) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-0) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-1) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-3) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_4, Fresh_5, Fresh_6, Fresh_7))", 0-0) = ? S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_4, Fresh_5, Fresh_6, Fresh_7))", 0-1) = ? S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_4, Fresh_5, Fresh_6, Fresh_7))", 0-2) = ? S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_4, Fresh_5, Fresh_6, Fresh_7))", 0-3) = ? S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ]", 0-0) = ? S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ]", 0-1) = ? S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ]", 0-2) = ? S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ]", 0-3) = ? S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5))", 0-0) = Ar_0 + 1 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5))", 0-1) = Ar_1 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5))", 0-3) = Ar_5 S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-0) = ? S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-1) = ? S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_3 S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-3) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5))", 0-0) = Ar_0 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5))", 0-1) = Ar_1 + 1 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5))", 0-3) = Ar_5 S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ]", 0-0) = Ar_0 + Ar_5 + 1 S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ]", 0-1) = ? S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ]", 0-2) = Ar_3 S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ]", 0-3) = Ar_5 S("koat_start(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_3, Ar_5)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_3, Ar_5)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_3, Ar_5)) [ 0 <= 0 ]", 0-2) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_3, Ar_5)) [ 0 <= 0 ]", 0-3) = Ar_5 orients the transitions f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ] f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ] weakly and the transitions f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ] f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_3, Ar_5)) [ 0 <= 0 ] (Comp: 8*Ar_0 + 8*Ar_1 + 4*Ar_5 + 4*Ar_3 + 15, Cost: 1) f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) (Comp: ?, Cost: 1) f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_4, Fresh_5, Fresh_6, Fresh_7)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5)) (Comp: ?, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 8*Ar_0 + 8*Ar_1 + 4*Ar_5 + 4*Ar_3 + 15, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Ar_0, Ar_1, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_3, Ar_5)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f4) = -2*V_1 + 2*V_2 Pol(f3) = -2*V_1 + 2*V_2 + 1 and size complexities S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_3, Ar_5))", 0-0) = Ar_0 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_3, Ar_5))", 0-1) = Ar_1 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_3, Ar_5))", 0-3) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5))", 0-0) = Ar_0 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5))", 0-1) = Ar_1 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5))", 0-3) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Ar_0, Ar_1, Ar_3, Ar_5))", 0-0) = Ar_0 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Ar_0, Ar_1, Ar_3, Ar_5))", 0-1) = Ar_1 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Ar_0, Ar_1, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Ar_0, Ar_1, Ar_3, Ar_5))", 0-3) = Ar_5 S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = Ar_0 + Ar_5 + 1 S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = 9*Ar_0 + 9*Ar_1 + 9*Ar_3 + 9*Ar_5 + 1296 S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = Ar_3 S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = Ar_5 S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-0) = ? S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-1) = 9*Ar_0 + 9*Ar_1 + 9*Ar_3 + 9*Ar_5 + 11664 S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_3 S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-3) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-0) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-1) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-3) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-0) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-1) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5))", 0-3) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_4, Fresh_5, Fresh_6, Fresh_7))", 0-0) = ? S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_4, Fresh_5, Fresh_6, Fresh_7))", 0-1) = ? S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_4, Fresh_5, Fresh_6, Fresh_7))", 0-2) = ? S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_4, Fresh_5, Fresh_6, Fresh_7))", 0-3) = ? S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ]", 0-0) = ? S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ]", 0-1) = ? S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ]", 0-2) = ? S("f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ]", 0-3) = ? S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5))", 0-0) = Ar_0 + 1 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5))", 0-1) = Ar_1 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5))", 0-3) = Ar_5 S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-0) = ? S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-1) = 9*Ar_0 + 9*Ar_1 + 9*Ar_3 + 9*Ar_5 + 11664 S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_3 S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]", 0-3) = Ar_5 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5))", 0-0) = Ar_0 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5))", 0-1) = Ar_1 + 1 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5))", 0-2) = Ar_3 S("f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5))", 0-3) = Ar_5 S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ]", 0-0) = Ar_0 + Ar_5 + 1 S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ]", 0-1) = 9*Ar_0 + 9*Ar_1 + 9*Ar_3 + 9*Ar_5 + 1296 S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ]", 0-2) = Ar_3 S("f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ]", 0-3) = Ar_5 S("koat_start(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_3, Ar_5)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_3, Ar_5)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_3, Ar_5)) [ 0 <= 0 ]", 0-2) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_3, Ar_5)) [ 0 <= 0 ]", 0-3) = Ar_5 orients the transitions f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] weakly and the transitions f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_3, Ar_5)) [ 0 <= 0 ] (Comp: 8*Ar_0 + 8*Ar_1 + 4*Ar_5 + 4*Ar_3 + 15, Cost: 1) f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1 + 1, Ar_3, Ar_5)) (Comp: 21068*Ar_0 + 21038*Ar_1 + 10684*Ar_5 + 10654*Ar_3 + 160*Ar_0^2 + 304*Ar_0*Ar_1 + 240*Ar_0*Ar_5 + 224*Ar_0*Ar_3 + 232*Ar_1*Ar_5 + 80*Ar_5^2 + 152*Ar_3*Ar_5 + 144*Ar_1^2 + 216*Ar_1*Ar_3 + 72*Ar_3^2 + 38934, Cost: 1) f4(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0 + 1, Ar_1, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_0, Fresh_1, Fresh_2, Fresh_3)) [ Ar_0 = Ar_1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Fresh_4, Fresh_5, Fresh_6, Fresh_7)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_5, Ar_3, Ar_3, Ar_5)) (Comp: 21068*Ar_0 + 21038*Ar_1 + 10684*Ar_5 + 10654*Ar_3 + 160*Ar_0^2 + 304*Ar_0*Ar_1 + 240*Ar_0*Ar_5 + 224*Ar_0*Ar_3 + 232*Ar_1*Ar_5 + 80*Ar_5^2 + 152*Ar_3*Ar_5 + 144*Ar_1^2 + 216*Ar_1*Ar_3 + 72*Ar_3^2 + 38934, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 8*Ar_0 + 8*Ar_1 + 4*Ar_5 + 4*Ar_3 + 15, Cost: 1) f3(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) [ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f8(Ar_0, Ar_1, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_3, Ar_5)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_3, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_3, Ar_5)) start location: koat_start leaf cost: 0 Complexity upper bound 42152*Ar_0 + 42092*Ar_1 + 21376*Ar_5 + 21316*Ar_3 + 320*Ar_0^2 + 608*Ar_0*Ar_1 + 480*Ar_0*Ar_5 + 448*Ar_0*Ar_3 + 464*Ar_1*Ar_5 + 160*Ar_5^2 + 304*Ar_3*Ar_5 + 288*Ar_1^2 + 432*Ar_1*Ar_3 + 144*Ar_3^2 + 77907 Time: 1.475 sec (SMT: 1.407 sec)