WORST_CASE(?, O(n^1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ] (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1)) (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1)) (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 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) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ] (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1)) (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1)) (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfstart) = 1 Pol(evalfentryin) = 1 Pol(evalfbb5in) = 1 Pol(evalfbbin) = 1 Pol(evalfreturnin) = 1 Pol(evalfbb2in) = 1 Pol(evalfbb4in) = 1 Pol(evalfbb3in) = 1 Pol(evalfbb1in) = 1 Pol(evalfstop) = 0 Pol(koat_start) = 1 orients all transitions weakly and the transition evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3)) strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ] (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1)) (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1)) (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfstart) = 1 Pol(evalfentryin) = 1 Pol(evalfbb5in) = 1 Pol(evalfbbin) = 1 Pol(evalfreturnin) = 0 Pol(evalfbb2in) = 1 Pol(evalfbb4in) = 1 Pol(evalfbb3in) = 1 Pol(evalfbb1in) = 1 Pol(evalfstop) = 0 Pol(koat_start) = 1 orients all transitions weakly and the transition evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ] (Comp: 1, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1)) (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1)) (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfstart) = 2*V_2 Pol(evalfentryin) = 2*V_2 Pol(evalfbb5in) = 2*V_2 Pol(evalfbbin) = 2*V_2 - 1 Pol(evalfreturnin) = 2*V_2 Pol(evalfbb2in) = 2*V_3 Pol(evalfbb4in) = 2*V_3 - 1 Pol(evalfbb3in) = 2*V_3 Pol(evalfbb1in) = 2*V_3 Pol(evalfstop) = 2*V_2 Pol(koat_start) = 2*V_2 orients all transitions weakly and the transition evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 2*Ar_1, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ] (Comp: 1, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1)) (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1)) (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 5 produces the following problem: 6: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 2*Ar_1, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ] (Comp: 1, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: 2*Ar_1, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1)) (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1)) (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfbb4in) = 0 Pol(evalfbb5in) = -1 Pol(evalfbb3in) = 1 Pol(evalfbb1in) = 1 Pol(evalfbb2in) = 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3))", 0-0) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3))", 0-1) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3))", 0-2) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3))", 0-3) = ? S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-0) = ? S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-1) = ? S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-2) = ? S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-3) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ]", 0-0) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ]", 0-1) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ]", 0-2) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ]", 0-3) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ]", 0-0) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ]", 0-1) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ]", 0-2) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ]", 0-3) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-0) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-1) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-2) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-3) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-0) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-1) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-2) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-3) = ? S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1))", 0-0) = ? S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1))", 0-1) = ? S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1))", 0-2) = ? S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1))", 0-3) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ]", 0-0) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ]", 0-1) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ]", 0-2) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ]", 0-3) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]", 0-0) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]", 0-1) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]", 0-2) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]", 0-3) = ? S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_1 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 orients the transitions evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3)) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ] evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1)) weakly and the transition evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) strictly and produces the following problem: 7: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 2*Ar_1, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ] (Comp: 1, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: 2*Ar_1, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1)) (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: 2*Ar_1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1)) (Comp: ?, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalfbb4in) = 1 Pol(evalfbb5in) = 0 Pol(evalfbb3in) = 2 Pol(evalfbb1in) = 2 Pol(evalfbb2in) = 2 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3))", 0-0) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3))", 0-1) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3))", 0-2) = ? S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3))", 0-3) = ? S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-0) = ? S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-1) = ? S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-2) = ? S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-3) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ]", 0-0) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ]", 0-1) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ]", 0-2) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ]", 0-3) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ]", 0-0) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ]", 0-1) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ]", 0-2) = ? S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ]", 0-3) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-0) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-1) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-2) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-3) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-0) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-1) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-2) = ? S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-3) = ? S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1))", 0-0) = ? S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1))", 0-1) = ? S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1))", 0-2) = ? S("evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1))", 0-3) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ]", 0-0) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ]", 0-1) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ]", 0-2) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ]", 0-3) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]", 0-0) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]", 0-1) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]", 0-2) = ? S("evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ]", 0-3) = ? S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_1 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 orients the transitions evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3)) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ] evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1)) weakly and the transitions evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3)) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] strictly and produces the following problem: 8: T: (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 2*Ar_1, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ] (Comp: 1, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: 2*Ar_1, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1)) (Comp: 6*Ar_1, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: 2*Ar_1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1)) (Comp: 6*Ar_1, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 8 to obtain the following invariants: For symbol evalfbb1in: X_4 - 1 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 + X_4 - 3 >= 0 /\ -X_2 + X_4 + 1 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ -X_2 + X_3 + 1 >= 0 /\ X_2 - 2 >= 0 For symbol evalfbb2in: X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ -X_2 + X_3 + 1 >= 0 /\ X_2 - 2 >= 0 For symbol evalfbb3in: X_4 - 1 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 + X_4 - 3 >= 0 /\ -X_2 + X_4 + 1 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ -X_2 + X_3 + 1 >= 0 /\ X_2 - 2 >= 0 For symbol evalfbb4in: X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ -X_2 + X_3 + 1 >= 0 /\ X_2 - 2 >= 0 For symbol evalfbbin: X_2 - 2 >= 0 For symbol evalfreturnin: -X_2 + 1 >= 0 This yielded the following problem: 9: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_1 + 1 >= 0 ] (Comp: 6*Ar_1, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: ?, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 2*Ar_1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 /\ E >= 1 ] (Comp: ?, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 /\ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 >= Ar_2 ] (Comp: 6*Ar_1, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 >= Ar_3 + 1 ] (Comp: 2*Ar_1, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1)) [ Ar_1 - 2 >= 0 ] (Comp: 1, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: 2*Ar_1, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ] (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 6*V_2 Pol(evalfstart) = 6*V_2 Pol(evalfreturnin) = 3*V_1 + 3*V_2 - 1 Pol(evalfstop) = 3*V_1 + 3*V_2 - 1 Pol(evalfbb4in) = 3*V_4 - 1 Pol(evalfbb5in) = 3*V_1 + 3*V_2 - 1 Pol(evalfbb1in) = 3*V_4 - 2 Pol(evalfbb2in) = 3*V_4 Pol(evalfbb3in) = 3*V_4 - 1 Pol(evalfbbin) = 3*V_1 + 3*V_2 - 1 Pol(evalfentryin) = 6*V_2 orients all transitions weakly and the transitions evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 /\ E >= 1 ] evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 /\ 0 >= E + 1 ] evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 >= Ar_2 ] evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 ] strictly and produces the following problem: 10: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_1 + 1 >= 0 ] (Comp: 6*Ar_1, Cost: 1) evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_3 - Ar_2 + 1, Ar_2 - 1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 6*Ar_1, Cost: 1) evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3 - 1)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 2*Ar_1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 6*Ar_1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 /\ E >= 1 ] (Comp: 6*Ar_1, Cost: 1) evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 /\ 0 >= E + 1 ] (Comp: 6*Ar_1, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 >= Ar_2 ] (Comp: 6*Ar_1, Cost: 1) evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 >= Ar_3 + 1 ] (Comp: 2*Ar_1, Cost: 1) evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_1 - 1, Ar_0 + Ar_1 - 1)) [ Ar_1 - 2 >= 0 ] (Comp: 1, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: 2*Ar_1, Cost: 1) evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 2 ] (Comp: 1, Cost: 1) evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 Complexity upper bound 42*Ar_1 + 4 Time: 3.987 sec (SMT: 3.866 sec)