WORST_CASE(?, O(1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, Fresh_0, Fresh_1, 0, Ar_4, Ar_5, Ar_6)) (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ] (Comp: ?, Cost: 1) f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: ?, Cost: 1) f42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ] (Comp: ?, Cost: 1) f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ] (Comp: ?, Cost: 1) f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ] (Comp: ?, Cost: 1) f42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ] (Comp: ?, Cost: 1) f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 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_3, Ar_4, Ar_5, Ar_6]. We thus obtain the following problem: 2: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ] (Comp: ?, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ] (Comp: ?, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ] (Comp: ?, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: ?, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ] (Comp: ?, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ] (Comp: ?, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6)) 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_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ] (Comp: ?, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ] (Comp: ?, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ] (Comp: ?, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: ?, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ] (Comp: ?, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ] (Comp: ?, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 6 Pol(f0) = 6 Pol(f15) = 6 Pol(f25) = 5 Pol(f33) = 4 Pol(f42) = 3 Pol(f52) = 2 Pol(f60) = 1 Pol(f69) = 0 orients all transitions weakly and the transitions f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ] f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ] f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ] f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ] f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ] f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] (Comp: 6, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ] (Comp: 6, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ] (Comp: 6, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ] (Comp: 6, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ] (Comp: 6, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ] (Comp: 6, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: ?, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ] (Comp: ?, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ] (Comp: ?, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 50 Pol(f0) = 50 Pol(f15) = -V_2 + 50 Pol(f25) = -V_2 - V_3 - 49 Pol(f33) = -V_2 - V_3 - 49 Pol(f42) = -V_2 - V_3 - V_4 - 49 Pol(f52) = -V_2 - V_3 - V_4 - V_5 - 49 Pol(f60) = -V_1 - V_2 - V_3 - V_4 - V_5 - 49 Pol(f69) = -V_1 - V_2 - V_3 - V_4 - V_5 - 49 orients all transitions weakly and the transition f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] (Comp: 6, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ] (Comp: 6, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ] (Comp: 6, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ] (Comp: 6, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ] (Comp: 6, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ] (Comp: 6, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: ?, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ] (Comp: ?, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ] (Comp: ?, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ] (Comp: 50, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 50 Pol(f0) = 50 Pol(f15) = 50 Pol(f25) = -V_3 + 50 Pol(f33) = -V_3 - 49 Pol(f42) = -V_3 - V_4 - 49 Pol(f52) = -V_3 - V_4 - V_5 - 49 Pol(f60) = -V_1 - V_3 - V_4 - V_5 - 49 Pol(f69) = -V_1 - V_3 - V_4 - V_5 - 49 orients all transitions weakly and the transition f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] (Comp: 6, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ] (Comp: 6, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ] (Comp: 6, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ] (Comp: 6, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ] (Comp: 6, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ] (Comp: 6, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: ?, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ] (Comp: ?, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ] (Comp: ?, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: 50, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ] (Comp: 50, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 98 Pol(f0) = 98 Pol(f15) = 98 Pol(f25) = 98 Pol(f33) = 98 Pol(f42) = 98 Pol(f52) = -V_5 + 98 Pol(f60) = -V_1 - V_5 - 49 Pol(f69) = -V_1 - V_5 - 49 orients all transitions weakly and the transition f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] (Comp: 6, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ] (Comp: 6, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ] (Comp: 6, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ] (Comp: 6, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ] (Comp: 6, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ] (Comp: 6, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: 98, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ] (Comp: ?, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ] (Comp: ?, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: 50, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ] (Comp: 50, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 98 Pol(f0) = 98 Pol(f15) = 98 Pol(f25) = 98 Pol(f33) = 98 Pol(f42) = 98 Pol(f52) = 98 Pol(f60) = -V_1 + 98 Pol(f69) = -V_1 + 98 orients all transitions weakly and the transition f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] strictly and produces the following problem: 8: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] (Comp: 6, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ] (Comp: 6, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ] (Comp: 6, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ] (Comp: 6, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ] (Comp: 6, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ] (Comp: 6, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ] (Comp: 98, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: 98, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ] (Comp: ?, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ] (Comp: ?, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: 50, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ] (Comp: 50, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 98 Pol(f0) = 98 Pol(f15) = 98 Pol(f25) = 98 Pol(f33) = 98 Pol(f42) = -V_4 + 98 Pol(f52) = -V_4 + 98 Pol(f60) = -V_4 + 98 Pol(f69) = -V_4 + 98 orients all transitions weakly and the transition f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ] strictly and produces the following problem: 9: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] (Comp: 6, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ] (Comp: 6, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ] (Comp: 6, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ] (Comp: 6, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ] (Comp: 6, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ] (Comp: 6, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ] (Comp: 98, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: 98, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ] (Comp: 98, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ] (Comp: ?, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: 50, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ] (Comp: 50, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f33) = -V_1 + 50 and size complexities S("f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6))", 0-0) = 0 S("f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6))", 0-1) = 0 S("f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6))", 0-2) = Ar_4 S("f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_5 S("f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_6 S("f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ]", 0-0) = 0 S("f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ]", 0-1) = 50 S("f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ]", 0-2) = Ar_4 S("f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ]", 0-3) = Ar_5 S("f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ]", 0-4) = Ar_6 S("f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ]", 0-0) = 0 S("f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ]", 0-1) = 50 S("f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ]", 0-2) = 50 S("f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ]", 0-3) = Ar_5 S("f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ]", 0-4) = Ar_6 S("f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ]", 0-0) = 50 S("f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ]", 0-1) = 50 S("f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ]", 0-2) = 50 S("f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ]", 0-3) = Ar_5 S("f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ]", 0-4) = Ar_6 S("f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ]", 0-0) = 50 S("f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ]", 0-1) = 50 S("f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ]", 0-2) = 50 S("f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ]", 0-3) = 50 S("f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ]", 0-4) = Ar_6 S("f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ]", 0-0) = 50 S("f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ]", 0-1) = 50 S("f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ]", 0-2) = 50 S("f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ]", 0-3) = 50 S("f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ]", 0-4) = 50 S("f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ]", 0-0) = 50 S("f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ]", 0-1) = 50 S("f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ]", 0-2) = 50 S("f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ]", 0-3) = 50 S("f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ]", 0-4) = 50 S("f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ]", 0-0) = 50 S("f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ]", 0-1) = 50 S("f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ]", 0-2) = 50 S("f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ]", 0-3) = 50 S("f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ]", 0-4) = 50 S("f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ]", 0-0) = 0 S("f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ]", 0-1) = 50 S("f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ]", 0-2) = 50 S("f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ]", 0-3) = 50 S("f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ]", 0-4) = 50 S("f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ]", 0-0) = 50 S("f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ]", 0-1) = 50 S("f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ]", 0-2) = 50 S("f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ]", 0-3) = 50 S("f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ]", 0-4) = 0 S("f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ]", 0-0) = 50 S("f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ]", 0-1) = 50 S("f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ]", 0-2) = 50 S("f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ]", 0-3) = 0 S("f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ]", 0-4) = Ar_6 S("f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ]", 0-0) = 0 S("f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ]", 0-1) = 50 S("f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ]", 0-2) = 50 S("f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ]", 0-3) = Ar_5 S("f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ]", 0-4) = Ar_6 S("f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ]", 0-0) = 0 S("f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ]", 0-1) = 50 S("f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ]", 0-2) = 0 S("f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ]", 0-3) = Ar_5 S("f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ]", 0-4) = Ar_6 S("koat_start(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-1) = Ar_3 S("koat_start(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-2) = Ar_4 S("koat_start(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-3) = Ar_5 S("koat_start(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-4) = Ar_6 orients the transitions f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] weakly and the transition f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] strictly and produces the following problem: 10: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] (Comp: 6, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, 0, Ar_5, Ar_6)) [ Ar_3 >= 50 ] (Comp: 6, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 50 ] (Comp: 6, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, 0, Ar_6)) [ Ar_0 >= 50 ] (Comp: 6, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 50 ] (Comp: 6, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 50 ] (Comp: 6, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f69(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 50 ] (Comp: 98, Cost: 1) f60(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f60(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: 98, Cost: 1) f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f52(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6 + 1)) [ 49 >= Ar_6 ] (Comp: 98, Cost: 1) f42(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f42(Ar_0, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ 49 >= Ar_5 ] (Comp: 300, Cost: 1) f33(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f33(Ar_0 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_0 ] (Comp: 50, Cost: 1) f25(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_3, Ar_4 + 1, Ar_5, Ar_6)) [ 49 >= Ar_4 ] (Comp: 50, Cost: 1) f15(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(Ar_0, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 49 >= Ar_3 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f15(0, 0, Ar_4, Ar_5, Ar_6)) start location: koat_start leaf cost: 0 Complexity upper bound 731 Time: 2.495 sec (SMT: 2.346 sec)