WORST_CASE(?, O(n^8)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: ?, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: ?, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: ?, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: ?, Cost: 1) evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 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) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: ?, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: ?, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: ?, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: ?, Cost: 1) evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfstart) = 2 Pol(evalfentryin) = 2 Pol(evalfbb10in) = 2 Pol(evalfbb8in) = 2 Pol(evalfreturnin) = 1 Pol(evalfbb6in) = 2 Pol(evalfbb9in) = 2 Pol(evalfbb4in) = 2 Pol(evalfbb7in) = 2 Pol(evalfbb3in) = 2 Pol(evalfbb5in) = 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) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: ?, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: ?, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: ?, Cost: 1) evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfstart) = V_1 + 2 Pol(evalfentryin) = V_1 + 2 Pol(evalfbb10in) = V_2 + 2 Pol(evalfbb8in) = V_2 + 1 Pol(evalfreturnin) = V_2 + 2 Pol(evalfbb6in) = V_2 + 1 Pol(evalfbb9in) = V_2 + 1 Pol(evalfbb4in) = V_2 + 1 Pol(evalfbb7in) = V_2 + 1 Pol(evalfbb3in) = V_2 + 1 Pol(evalfbb5in) = V_2 + 1 Pol(evalfstop) = V_2 + 2 Pol(koat_start) = V_1 + 2 orients all transitions weakly and the transition evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: ?, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: ?, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: ?, Cost: 1) evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfbb9in) = 1 Pol(evalfbb10in) = 0 Pol(evalfbb8in) = 2 Pol(evalfbb6in) = 2 Pol(evalfbb7in) = 2 Pol(evalfbb4in) = 2 Pol(evalfbb5in) = 2 Pol(evalfbb3in) = 2 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-1) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = Ar_1 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = Ar_1 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-1) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-2) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-1) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-2) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-4) = 1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ? S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) weakly and the transition evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) strictly and produces the following problem: 5: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: ?, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: ?, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: ?, Cost: 1) evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2*Ar_0 + 4, Cost: 1) evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfbb8in) = 1 Pol(evalfbb9in) = 0 Pol(evalfbb6in) = 1 Pol(evalfbb7in) = 1 Pol(evalfbb4in) = 1 Pol(evalfbb5in) = 1 Pol(evalfbb3in) = 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 324 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = Ar_1 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = Ar_1 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = 3*Ar_0 + 36 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-2) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-2) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-4) = 1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = 3*Ar_0 + 108 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = 3*Ar_0 + 108 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ? S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) weakly and the transition evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: ?, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_0 + 2, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: ?, Cost: 1) evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2*Ar_0 + 4, Cost: 1) evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfbb8in) = 3*V_1 - 3*V_3 + 1 Pol(evalfbb6in) = 3*V_1 - 3*V_3 Pol(evalfbb7in) = 3*V_1 - 3*V_3 - 1 Pol(evalfbb4in) = 3*V_1 - 3*V_3 Pol(evalfbb5in) = 3*V_1 - 3*V_3 Pol(evalfbb3in) = 3*V_1 - 3*V_3 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 324 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = Ar_1 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = Ar_1 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = 3*Ar_0 + 36 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-2) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-2) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-4) = 1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = 3*Ar_0 + 108 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = 3*Ar_0 + 108 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ? S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) weakly and the transition evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: 3*Ar_0*Ar_1 + 6*Ar_1 + 4*Ar_0 + 8, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_0 + 2, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: ?, Cost: 1) evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2*Ar_0 + 4, Cost: 1) evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfbb7in) = 1 Pol(evalfbb8in) = 0 Pol(evalfbb6in) = 2 Pol(evalfbb4in) = 2 Pol(evalfbb5in) = 2 Pol(evalfbb3in) = 2 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 324 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = Ar_1 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = Ar_1 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = 3*Ar_0 + 36 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-2) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-2) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-4) = 1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = 3*Ar_0 + 108 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = 3*Ar_0 + 108 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ? S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) weakly and the transition evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) strictly and produces the following problem: 8: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: 3*Ar_0*Ar_1 + 6*Ar_1 + 4*Ar_0 + 8, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_0 + 2, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 16, Cost: 1) evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2*Ar_0 + 4, Cost: 1) evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfbb6in) = 1 Pol(evalfbb7in) = 0 Pol(evalfbb4in) = 1 Pol(evalfbb5in) = 1 Pol(evalfbb3in) = 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 324 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 + 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = Ar_1 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = Ar_1 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = 3*Ar_0 + 36 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-4) = 1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = 3*Ar_0 + 108 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = 3*Ar_0 + 108 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = Ar_2 + 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ? S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) weakly and the transition evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] strictly and produces the following problem: 9: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: 3*Ar_0*Ar_1 + 6*Ar_1 + 4*Ar_0 + 8, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_0 + 2, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] (Comp: 3*Ar_0*Ar_1 + 6*Ar_1 + 4*Ar_0 + 8, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 16, Cost: 1) evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2*Ar_0 + 4, Cost: 1) evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfbb6in) = 3*V_2 + 3*V_3 - 3*V_4 + 2 Pol(evalfbb4in) = 3*V_2 + 3*V_3 - 3*V_4 + 1 Pol(evalfbb5in) = 3*V_2 + 3*V_3 - 3*V_4 Pol(evalfbb3in) = 3*V_2 + 3*V_3 - 3*V_4 + 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 324 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 + 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = Ar_1 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = Ar_1 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = 3*Ar_0 + 36 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-4) = 1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = 3*Ar_0 + 108 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = 3*Ar_0 + 108 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = Ar_2 + 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ? S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) weakly and the transition evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] strictly and produces the following problem: 10: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: 3*Ar_0*Ar_1 + 6*Ar_1 + 4*Ar_0 + 8, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_0 + 2, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: 198*Ar_0^2*Ar_1 + 1995*Ar_0*Ar_1 + 168*Ar_0^2 + 54*Ar_0^2*Ar_1^2 + 216*Ar_0*Ar_1^2 + 216*Ar_1^2 + 2276*Ar_0 + 3198*Ar_1 + 3880, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] (Comp: 3*Ar_0*Ar_1 + 6*Ar_1 + 4*Ar_0 + 8, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 16, Cost: 1) evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2*Ar_0 + 4, Cost: 1) evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfbb5in) = 1 Pol(evalfbb6in) = 0 Pol(evalfbb4in) = 2 Pol(evalfbb3in) = 2 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 324 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 + 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = Ar_1 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = Ar_1 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = 3*Ar_0 + 36 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-3) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-4) = 1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = 3*Ar_0 + 108 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = 3*Ar_0 + 108 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = Ar_2 + 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ? S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) weakly and the transitions evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] strictly and produces the following problem: 11: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: 3*Ar_0*Ar_1 + 6*Ar_1 + 4*Ar_0 + 8, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_0 + 2, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: 198*Ar_0^2*Ar_1 + 1995*Ar_0*Ar_1 + 168*Ar_0^2 + 54*Ar_0^2*Ar_1^2 + 216*Ar_0*Ar_1^2 + 216*Ar_1^2 + 2276*Ar_0 + 3198*Ar_1 + 3880, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] (Comp: 3*Ar_0*Ar_1 + 6*Ar_1 + 4*Ar_0 + 8, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 4552*Ar_0 + 6396*Ar_1 + 7760, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 4552*Ar_0 + 6396*Ar_1 + 7760, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 16, Cost: 1) evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2*Ar_0 + 4, Cost: 1) evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfbb4in) = 2*V_4 - 2*V_5 + 1 Pol(evalfbb3in) = 2*V_4 - 2*V_5 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 324 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 + 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 + 4553*Ar_0 + 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 6396*Ar_1 + 7796 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 + 4553*Ar_0 + 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 6396*Ar_1 + 7796 S("evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = 4553*Ar_0 + 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 6396*Ar_1 + 7796 S("evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = Ar_1 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = 3*Ar_0 + 36 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = 4553*Ar_0 + 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 6396*Ar_1 + 7796 S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = Ar_1 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = 3*Ar_0 + 36 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = 4553*Ar_0 + 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 6396*Ar_1 + 7796 S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = 4553*Ar_0 + 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 6396*Ar_1 + 7796 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = Ar_1 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = 4553*Ar_0 + 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 6396*Ar_1 + 7796 S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-3) = 4553*Ar_0 + 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 6396*Ar_1 + 7796 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ]", 0-4) = ? S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-0) = Ar_1 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-3) = 4553*Ar_0 + 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 6396*Ar_1 + 7796 S("evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ]", 0-4) = 1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = Ar_3 + 4553*Ar_0 + 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 6396*Ar_1 + 7796 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = Ar_1 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = 3*Ar_0 + 108 S("evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = 3*Ar_0 + 108 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = Ar_2 + 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 17 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = Ar_3 + 4553*Ar_0 + 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 6396*Ar_1 + 7796 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ? S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = 3*Ar_0 + 36 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 1 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = Ar_3 + 4553*Ar_0 + 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 6396*Ar_1 + 7796 S("evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ? S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) weakly and the transition evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] strictly and produces the following problem: 12: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: 3*Ar_0*Ar_1 + 6*Ar_1 + 4*Ar_0 + 8, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_0 + 2, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: 198*Ar_0^2*Ar_1 + 1995*Ar_0*Ar_1 + 168*Ar_0^2 + 54*Ar_0^2*Ar_1^2 + 216*Ar_0*Ar_1^2 + 216*Ar_1^2 + 2276*Ar_0 + 3198*Ar_1 + 3880, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] (Comp: 3*Ar_0*Ar_1 + 6*Ar_1 + 4*Ar_0 + 8, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] (Comp: 6286860*Ar_0^3*Ar_1 + 46787832*Ar_0^2*Ar_1 + 3059280*Ar_0^3 + 4433724*Ar_0^3*Ar_1^2 + 26889606*Ar_0^2*Ar_1^2 + 61694280*Ar_0*Ar_1^2 + 25952576*Ar_0^2 + 120310005*Ar_0*Ar_1 + 229392*Ar_0^4*Ar_1^2 + 266112*Ar_0^4*Ar_1 + 85536*Ar_0^4*Ar_1^3 + 1203984*Ar_0^3*Ar_1^3 + 5171040*Ar_0^2*Ar_1^3 + 8973504*Ar_0*Ar_1^3 + 112896*Ar_0^4 + 11664*Ar_0^4*Ar_1^4 + 93312*Ar_0^3*Ar_1^4 + 279936*Ar_0^2*Ar_1^4 + 373248*Ar_0*Ar_1^4 + 186624*Ar_1^4 + 5526144*Ar_1^3 + 47629656*Ar_1^2 + 70825500*Ar_0 + 99505770*Ar_1 + 60508600, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 4552*Ar_0 + 6396*Ar_1 + 7760, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 4552*Ar_0 + 6396*Ar_1 + 7760, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 16, Cost: 1) evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2*Ar_0 + 4, Cost: 1) evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 12 produces the following problem: 13: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_1, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalfbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: 3*Ar_0*Ar_1 + 6*Ar_1 + 4*Ar_0 + 8, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_0 + 2, Cost: 1) evalfbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: 198*Ar_0^2*Ar_1 + 1995*Ar_0*Ar_1 + 168*Ar_0^2 + 54*Ar_0^2*Ar_1^2 + 216*Ar_0*Ar_1^2 + 216*Ar_1^2 + 2276*Ar_0 + 3198*Ar_1 + 3880, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 + Ar_2 >= Ar_3 ] (Comp: 3*Ar_0*Ar_1 + 6*Ar_1 + 4*Ar_0 + 8, Cost: 1) evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + Ar_2 + 1 ] (Comp: 6286860*Ar_0^3*Ar_1 + 46787832*Ar_0^2*Ar_1 + 3059280*Ar_0^3 + 4433724*Ar_0^3*Ar_1^2 + 26889606*Ar_0^2*Ar_1^2 + 61694280*Ar_0*Ar_1^2 + 25952576*Ar_0^2 + 120310005*Ar_0*Ar_1 + 229392*Ar_0^4*Ar_1^2 + 266112*Ar_0^4*Ar_1 + 85536*Ar_0^4*Ar_1^3 + 1203984*Ar_0^3*Ar_1^3 + 5171040*Ar_0^2*Ar_1^3 + 8973504*Ar_0*Ar_1^3 + 112896*Ar_0^4 + 11664*Ar_0^4*Ar_1^4 + 93312*Ar_0^3*Ar_1^4 + 279936*Ar_0^2*Ar_1^4 + 373248*Ar_0*Ar_1^4 + 186624*Ar_1^4 + 5526144*Ar_1^3 + 47629656*Ar_1^2 + 70825500*Ar_0 + 99505770*Ar_1 + 60508600, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 4552*Ar_0 + 6396*Ar_1 + 7760, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: 6286860*Ar_0^3*Ar_1 + 46787832*Ar_0^2*Ar_1 + 3059280*Ar_0^3 + 4433724*Ar_0^3*Ar_1^2 + 26889606*Ar_0^2*Ar_1^2 + 61694280*Ar_0*Ar_1^2 + 25952576*Ar_0^2 + 120310005*Ar_0*Ar_1 + 229392*Ar_0^4*Ar_1^2 + 266112*Ar_0^4*Ar_1 + 85536*Ar_0^4*Ar_1^3 + 1203984*Ar_0^3*Ar_1^3 + 5171040*Ar_0^2*Ar_1^3 + 8973504*Ar_0*Ar_1^3 + 112896*Ar_0^4 + 11664*Ar_0^4*Ar_1^4 + 93312*Ar_0^3*Ar_1^4 + 279936*Ar_0^2*Ar_1^4 + 373248*Ar_0*Ar_1^4 + 186624*Ar_1^4 + 5526144*Ar_1^3 + 47629656*Ar_1^2 + 70825500*Ar_0 + 99505770*Ar_1 + 60508600, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: 396*Ar_0^2*Ar_1 + 3990*Ar_0*Ar_1 + 336*Ar_0^2 + 108*Ar_0^2*Ar_1^2 + 432*Ar_0*Ar_1^2 + 432*Ar_1^2 + 4552*Ar_0 + 6396*Ar_1 + 7760, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: 6*Ar_0*Ar_1 + 12*Ar_1 + 8*Ar_0 + 16, Cost: 1) evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb8in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2*Ar_0 + 4, Cost: 1) evalfbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfbb10in(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 141662400*Ar_0 + 240629997*Ar_0*Ar_1 + 199027554*Ar_1 + 93576654*Ar_0^2*Ar_1 + 51905992*Ar_0^2 + 53779482*Ar_0^2*Ar_1^2 + 123389640*Ar_0*Ar_1^2 + 95260392*Ar_1^2 + 12573720*Ar_0^3*Ar_1 + 6118560*Ar_0^3 + 8867448*Ar_0^3*Ar_1^2 + 458784*Ar_0^4*Ar_1^2 + 532224*Ar_0^4*Ar_1 + 171072*Ar_0^4*Ar_1^3 + 2407968*Ar_0^3*Ar_1^3 + 10342080*Ar_0^2*Ar_1^3 + 17947008*Ar_0*Ar_1^3 + 225792*Ar_0^4 + 23328*Ar_0^4*Ar_1^4 + 186624*Ar_0^3*Ar_1^4 + 559872*Ar_0^2*Ar_1^4 + 746496*Ar_0*Ar_1^4 + 373248*Ar_1^4 + 11052288*Ar_1^3 + 121036646 Time: 1.929 sec (SMT: 1.782 sec)