WORST_CASE(?, O(n^1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, 0, Ar_0, Ar_3)) [ Ar_0 >= 1 ] (Comp: ?, Cost: 1) evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 + 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 + 1)) [ Ar_0 >= Ar_1 + 2 ] (Comp: ?, Cost: 1) evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 - 1)) [ Ar_1 >= 2 ] (Comp: ?, Cost: 1) evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) (Comp: ?, Cost: 1) evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, Ar_3, Ar_2 - 1, Ar_3)) [ Ar_2 >= 2 ] (Comp: ?, Cost: 1) evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_2 ] (Comp: ?, Cost: 1) evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1start(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) evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, 0, Ar_0, Ar_3)) [ Ar_0 >= 1 ] (Comp: 1, Cost: 1) evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 + 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 + 1)) [ Ar_0 >= Ar_1 + 2 ] (Comp: ?, Cost: 1) evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 - 1)) [ Ar_1 >= 2 ] (Comp: ?, Cost: 1) evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) (Comp: ?, Cost: 1) evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, Ar_3, Ar_2 - 1, Ar_3)) [ Ar_2 >= 2 ] (Comp: ?, Cost: 1) evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_2 ] (Comp: ?, Cost: 1) evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalwcet1start) = 2 Pol(evalwcet1entryin) = 2 Pol(evalwcet1bbin) = 2 Pol(evalwcet1returnin) = 1 Pol(evalwcet1bb1in) = 2 Pol(evalwcet1bb4in) = 2 Pol(evalwcet1bb6in) = 2 Pol(evalwcet1bb5in) = 2 Pol(evalwcet1stop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1stop(Ar_0, Ar_1, Ar_2, Ar_3)) evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_2 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, 0, Ar_0, Ar_3)) [ Ar_0 >= 1 ] (Comp: 1, Cost: 1) evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 + 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 + 1)) [ Ar_0 >= Ar_1 + 2 ] (Comp: ?, Cost: 1) evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 - 1)) [ Ar_1 >= 2 ] (Comp: ?, Cost: 1) evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) (Comp: ?, Cost: 1) evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, Ar_3, Ar_2 - 1, Ar_3)) [ Ar_2 >= 2 ] (Comp: 2, Cost: 1) evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_2 ] (Comp: 2, Cost: 1) evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalwcet1bbin) = 2*V_3 - 2 Pol(evalwcet1bb4in) = 2*V_3 - 2 Pol(evalwcet1bb1in) = 2*V_3 - 2 Pol(evalwcet1bb6in) = 2*V_3 - 2 Pol(evalwcet1bb5in) = 2*V_3 - 2 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1start(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(evalwcet1start(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(evalwcet1start(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(evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_0 + Ar_2 S("evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_2 ]", 0-0) = Ar_0 S("evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_2 ]", 0-1) = ? S("evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_2 ]", 0-2) = Ar_0 S("evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_2 ]", 0-3) = ? S("evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, Ar_3, Ar_2 - 1, Ar_3)) [ Ar_2 >= 2 ]", 0-0) = Ar_0 S("evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, Ar_3, Ar_2 - 1, Ar_3)) [ Ar_2 >= 2 ]", 0-1) = ? S("evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, Ar_3, Ar_2 - 1, Ar_3)) [ Ar_2 >= 2 ]", 0-2) = Ar_0 S("evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, Ar_3, Ar_2 - 1, Ar_3)) [ Ar_2 >= 2 ]", 0-3) = ? S("evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0))", 0-0) = Ar_0 S("evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0))", 0-1) = ? S("evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0))", 0-2) = Ar_0 S("evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0))", 0-3) = 0 S("evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 - 1)) [ Ar_1 >= 2 ]", 0-0) = Ar_0 S("evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 - 1)) [ Ar_1 >= 2 ]", 0-1) = ? S("evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 - 1)) [ Ar_1 >= 2 ]", 0-2) = Ar_0 S("evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 - 1)) [ Ar_1 >= 2 ]", 0-3) = ? S("evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ]", 0-0) = Ar_0 S("evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ]", 0-1) = ? S("evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ]", 0-2) = Ar_0 S("evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ]", 0-3) = ? S("evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 + 1)) [ Ar_0 >= Ar_1 + 2 ]", 0-0) = Ar_0 S("evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 + 1)) [ Ar_0 >= Ar_1 + 2 ]", 0-1) = ? S("evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 + 1)) [ Ar_0 >= Ar_1 + 2 ]", 0-2) = Ar_0 S("evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 + 1)) [ Ar_0 >= Ar_1 + 2 ]", 0-3) = ? S("evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 + 1 >= Ar_0 ]", 0-0) = Ar_0 S("evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 + 1 >= Ar_0 ]", 0-1) = ? S("evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 + 1 >= Ar_0 ]", 0-2) = Ar_0 S("evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 + 1 >= Ar_0 ]", 0-3) = 0 S("evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_0 S("evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ]", 0-0) = Ar_0 S("evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ]", 0-1) = ? S("evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ]", 0-2) = Ar_0 S("evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ]", 0-3) = ? S("evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ]", 0-0) = Ar_0 S("evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ]", 0-1) = ? S("evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ]", 0-2) = Ar_0 S("evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ]", 0-3) = ? S("evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-0) = Ar_0 S("evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-1) = Ar_1 S("evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-2) = Ar_2 S("evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-3) = Ar_3 S("evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, 0, Ar_0, Ar_3)) [ Ar_0 >= 1 ]", 0-0) = Ar_0 S("evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, 0, Ar_0, Ar_3)) [ Ar_0 >= 1 ]", 0-1) = 0 S("evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, 0, Ar_0, Ar_3)) [ Ar_0 >= 1 ]", 0-2) = Ar_0 S("evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, 0, Ar_0, Ar_3)) [ Ar_0 >= 1 ]", 0-3) = Ar_3 S("evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 orients the transitions evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, Ar_3, Ar_2 - 1, Ar_3)) [ Ar_2 >= 2 ] evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 - 1)) [ Ar_1 >= 2 ] evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 + 1)) [ Ar_0 >= Ar_1 + 2 ] evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 + 1 >= Ar_0 ] weakly and the transition evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, Ar_3, Ar_2 - 1, Ar_3)) [ Ar_2 >= 2 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 1) evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, 0, Ar_0, Ar_3)) [ Ar_0 >= 1 ] (Comp: 1, Cost: 1) evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 + 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 + 1)) [ Ar_0 >= Ar_1 + 2 ] (Comp: ?, Cost: 1) evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 - 1)) [ Ar_1 >= 2 ] (Comp: ?, Cost: 1) evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) (Comp: 2*Ar_0 + 2, Cost: 1) evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, Ar_3, Ar_2 - 1, Ar_3)) [ Ar_2 >= 2 ] (Comp: 2, Cost: 1) evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_2 ] (Comp: 2, Cost: 1) evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 4 produces the following problem: 5: T: (Comp: 1, Cost: 1) evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, 0, Ar_0, Ar_3)) [ Ar_0 >= 1 ] (Comp: 1, Cost: 1) evalwcet1entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: 2*Ar_0 + 3, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: 2*Ar_0 + 3, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: 2*Ar_0 + 3, Cost: 1) evalwcet1bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 4*Ar_0 + 6, Cost: 1) evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 + 1 >= Ar_0 ] (Comp: 4*Ar_0 + 6, Cost: 1) evalwcet1bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 + 1)) [ Ar_0 >= Ar_1 + 2 ] (Comp: 2*Ar_0 + 3, Cost: 1) evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_1 ] (Comp: 2*Ar_0 + 3, Cost: 1) evalwcet1bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_1 - 1)) [ Ar_1 >= 2 ] (Comp: 2*Ar_0 + 3, Cost: 1) evalwcet1bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bb6in(Ar_0, Ar_1, Ar_2, 0)) (Comp: 2*Ar_0 + 2, Cost: 1) evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1bbin(Ar_0, Ar_3, Ar_2 - 1, Ar_3)) [ Ar_2 >= 2 ] (Comp: 2, Cost: 1) evalwcet1bb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_2 ] (Comp: 2, Cost: 1) evalwcet1returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalwcet1start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 22*Ar_0 + 39 Time: 1.441 sec (SMT: 1.396 sec)