WORST_CASE(?, O(n^1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: ?, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ] (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 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) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ] (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfstart) = 2 Pol(evalfentryin) = 2 Pol(evalfbb5in) = 2 Pol(evalfreturnin) = 1 Pol(evalfbbin) = 2 Pol(evalfbb1in) = 2 Pol(evalfbb3in) = 2 Pol(evalfstop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 2, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ] (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfstart) = 3*V_7 - 1 Pol(evalfentryin) = 3*V_7 - 1 Pol(evalfbb5in) = -3*V_1 + 3*V_7 - 1 Pol(evalfreturnin) = -3*V_1 + 3*V_7 - 1 Pol(evalfbbin) = -3*V_1 + 3*V_7 - 1 Pol(evalfbb1in) = -3*V_1 + 3*V_7 - 1 Pol(evalfbb3in) = -3*V_6 + 3*V_7 - 2 Pol(evalfstop) = -3*V_1 + 3*V_7 - 1 Pol(koat_start) = 3*V_7 - 1 orients all transitions weakly and the transition evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 2, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ] (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: 3*Ar_6 + 1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfstart) = 3*V_4 Pol(evalfentryin) = 3*V_4 Pol(evalfbb5in) = -3*V_3 + 3*V_4 - 2 Pol(evalfreturnin) = -3*V_3 + 3*V_4 - 2 Pol(evalfbbin) = 3*V_4 - 3*V_5 Pol(evalfbb1in) = 3*V_4 - 3*V_5 - 1 Pol(evalfbb3in) = 3*V_4 - 3*V_5 - 1 Pol(evalfstop) = -3*V_3 + 3*V_4 - 2 Pol(koat_start) = 3*V_4 orients all transitions weakly and the transition evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 2, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ] (Comp: 3*Ar_3, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: 3*Ar_6 + 1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 5 produces the following problem: 6: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 2, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ] (Comp: 3*Ar_3, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ] (Comp: 3*Ar_3, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ] (Comp: 3*Ar_3, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ] (Comp: 3*Ar_3, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: 3*Ar_6 + 3*Ar_3 + 1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: 3*Ar_6 + 1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfbb1in) = 1 Pol(evalfbb5in) = 0 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-4) = Ar_4 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-5) = Ar_5 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-6) = Ar_6 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = 6*Ar_3 + 6*Ar_6 + 2592 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = 3*Ar_3 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_3 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = 3*Ar_3 + 3*Ar_4 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = Ar_6 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-0) = 6*Ar_3 + 6*Ar_6 + 2592 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-1) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-2) = 3*Ar_3 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-3) = Ar_3 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-4) = 3*Ar_3 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-5) = 6*Ar_3 + 6*Ar_6 + 72 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-6) = Ar_6 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-0) = 6*Ar_3 + 6*Ar_6 + 72 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-1) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-2) = 3*Ar_3 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-3) = Ar_3 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-4) = 3*Ar_3 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-5) = 6*Ar_3 + 6*Ar_6 + 432 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-6) = Ar_6 S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-0) = 6*Ar_3 + 6*Ar_6 + 72 S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-1) = ? S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-2) = 3*Ar_3 S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-3) = Ar_3 S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-4) = 3*Ar_3 S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-5) = ? S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ]", 0-6) = Ar_6 S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-0) = 6*Ar_3 + 6*Ar_6 + 72 S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-1) = ? S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-2) = 3*Ar_3 S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-3) = Ar_3 S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-4) = 3*Ar_3 S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-5) = ? S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ]", 0-6) = Ar_6 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6))", 0-0) = 6*Ar_3 + 6*Ar_6 + 432 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6))", 0-1) = ? S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6))", 0-2) = 3*Ar_3 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6))", 0-3) = Ar_3 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6))", 0-4) = 3*Ar_3 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6))", 0-5) = 6*Ar_3 + 6*Ar_6 + 72 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6))", 0-6) = Ar_6 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ]", 0-0) = 6*Ar_3 + 6*Ar_6 + 72 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ]", 0-1) = ? S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ]", 0-2) = 3*Ar_3 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ]", 0-3) = Ar_3 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ]", 0-4) = 3*Ar_3 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ]", 0-5) = ? S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ]", 0-6) = Ar_6 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ]", 0-0) = 6*Ar_3 + 6*Ar_6 + 72 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ]", 0-1) = ? S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ]", 0-2) = 3*Ar_3 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ]", 0-3) = Ar_3 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ]", 0-4) = 3*Ar_3 S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ]", 0-5) = ? S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ]", 0-6) = Ar_6 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ]", 0-0) = 6*Ar_3 + 6*Ar_6 + 72 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ]", 0-1) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ]", 0-2) = 3*Ar_3 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ]", 0-3) = Ar_3 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ]", 0-4) = 3*Ar_3 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ]", 0-5) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ]", 0-6) = Ar_6 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ]", 0-0) = 6*Ar_3 + 6*Ar_6 + 432 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ]", 0-1) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ]", 0-2) = 3*Ar_3 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ]", 0-3) = Ar_3 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ]", 0-4) = 3*Ar_3 + 3*Ar_4 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ]", 0-5) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ]", 0-6) = Ar_6 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = 0 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = 0 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = 0 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_3 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_4 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_5 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = Ar_6 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = Ar_0 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = Ar_2 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_3 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_4 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_5 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = Ar_6 orients the transitions evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] weakly and the transition evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 2, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ] (Comp: 3*Ar_3, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ] (Comp: 3*Ar_3, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ] (Comp: 3*Ar_3, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ] (Comp: 3*Ar_3, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6)) (Comp: 6*Ar_3, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: 3*Ar_6 + 3*Ar_3 + 1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: 3*Ar_6 + 1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfstart) = V_7 Pol(evalfentryin) = V_7 Pol(evalfbb5in) = -V_2 + V_7 Pol(evalfreturnin) = -V_2 + V_7 Pol(evalfbbin) = -V_2 + V_7 Pol(evalfbb1in) = -V_6 + V_7 Pol(evalfbb3in) = -V_2 + V_7 Pol(evalfstop) = -V_2 + V_7 Pol(koat_start) = V_7 orients all transitions weakly and the transition evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] strictly and produces the following problem: 8: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(0, 0, 0, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 2, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 ] (Comp: 3*Ar_3, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2 + 1, Ar_5, Ar_6)) [ Ar_3 >= Ar_2 + 1 ] (Comp: 3*Ar_3, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ 0 >= H + 1 ] (Comp: 3*Ar_3, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6)) [ H >= 1 ] (Comp: 3*Ar_3, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_0, Ar_6)) (Comp: 6*Ar_3, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_0, Ar_5 + 1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: Ar_6, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: 3*Ar_6 + 3*Ar_3 + 1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb5in(Ar_5 + 1, Ar_1, Ar_4, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_6 ] (Comp: 3*Ar_6 + 1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= Ar_5 + 1 ] (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 21*Ar_3 + 7*Ar_6 + 8 Time: 2.113 sec (SMT: 2.016 sec)