WORST_CASE(?, O(n^2)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) (Comp: ?, Cost: 1) evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) (Comp: ?, Cost: 1) evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3start(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) evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) (Comp: ?, Cost: 1) evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) (Comp: ?, Cost: 1) evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalspeedpldi3start) = 2 Pol(evalspeedpldi3entryin) = 2 Pol(evalspeedpldi3returnin) = 1 Pol(evalspeedpldi3bb5in) = 2 Pol(evalspeedpldi3bb2in) = 2 Pol(evalspeedpldi3bb3in) = 2 Pol(evalspeedpldi3bb4in) = 2 Pol(evalspeedpldi3stop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3)) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_1 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_3 + 1 ] (Comp: 2, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) (Comp: ?, Cost: 1) evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) (Comp: 2, Cost: 1) evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 3 to obtain the following invariants: For symbol evalspeedpldi3bb2in: X_2 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalspeedpldi3bb3in: X_2 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ X_2 - X_3 - 2 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalspeedpldi3bb4in: X_2 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ -X_1 + X_3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalspeedpldi3bb5in: X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 This yielded the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ] (Comp: 2, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: 1, Cost: 1) evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalspeedpldi3bb5in) = -4*V_1 + 6*V_2 - 2*V_4 + 1 Pol(evalspeedpldi3bb2in) = -4*V_1 + 6*V_2 - 2*V_4 + 1 Pol(evalspeedpldi3bb4in) = -4*V_1 + 6*V_2 - 2*V_4 Pol(evalspeedpldi3bb3in) = -4*V_1 + 6*V_2 - 2*V_4 + 1 and size complexities S("evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-0) = Ar_0 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-1) = Ar_1 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-2) = Ar_2 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-3) = Ar_3 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-0) = Ar_0 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-1) = Ar_1 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-2) = Ar_2 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-3) = Ar_3 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = Ar_0 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = 0 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-3) = 0 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_3 + 1 ]", 0-0) = Ar_0 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_3 + 1 ]", 0-1) = Ar_1 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_3 + 1 ]", 0-2) = Ar_0 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_3 + 1 ]", 0-3) = Ar_1 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_1 ]", 0-0) = Ar_0 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_1 ]", 0-1) = Ar_1 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_1 ]", 0-2) = 0 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_1 ]", 0-3) = Ar_1 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-0) = Ar_0 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-1) = Ar_1 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-2) = Ar_0 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-3) = Ar_1 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-0) = Ar_0 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-1) = Ar_1 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-2) = Ar_0 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-3) = Ar_1 S("evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 - 2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 S("evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 - 2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_1 S("evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 - 2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = Ar_0 S("evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 - 2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_1 S("evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 S("evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_1 S("evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = 0 S("evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_1 S("evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_1 + Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3start(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(evalspeedpldi3start(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(evalspeedpldi3start(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(evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_3 + 1 ] evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_0 ] evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ] weakly and the transition evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_0 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 4*Ar_0 + 6*Ar_1 + 1, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ] (Comp: 2, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: 1, Cost: 1) evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 5 produces the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 4*Ar_0 + 6*Ar_1 + 1, Cost: 1) evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 4*Ar_0 + 6*Ar_1 + 1, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ] (Comp: 2, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: 1, Cost: 1) evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalspeedpldi3bb5in) = 3*V_1 - 3*V_3 + 1 Pol(evalspeedpldi3bb2in) = 3*V_1 - 3*V_3 Pol(evalspeedpldi3bb3in) = 3*V_1 - 3*V_3 - 1 and size complexities S("evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-0) = Ar_0 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-1) = Ar_1 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-2) = Ar_2 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-3) = Ar_3 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-0) = Ar_0 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-1) = Ar_1 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-2) = Ar_2 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-3) = Ar_3 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = Ar_0 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = 0 S("evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-3) = 0 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_3 + 1 ]", 0-0) = Ar_0 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_3 + 1 ]", 0-1) = Ar_1 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_3 + 1 ]", 0-2) = Ar_0 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_3 + 1 ]", 0-3) = Ar_1 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_1 ]", 0-0) = Ar_0 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_1 ]", 0-1) = Ar_1 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_1 ]", 0-2) = 0 S("evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_1 ]", 0-3) = Ar_1 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-0) = Ar_0 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-1) = Ar_1 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-2) = Ar_0 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-3) = Ar_1 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-0) = Ar_0 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-1) = Ar_1 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-2) = Ar_0 S("evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-3) = Ar_1 S("evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 - 2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 S("evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 - 2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_1 S("evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 - 2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = Ar_0 S("evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 - 2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_1 S("evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 S("evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_1 S("evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = 0 S("evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_1 S("evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_1 + Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3start(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(evalspeedpldi3start(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(evalspeedpldi3start(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(evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_3 + 1 ] evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ] weakly and the transitions evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 4*Ar_0 + 6*Ar_1 + 1, Cost: 1) evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 10*Ar_0 + 12*Ar_0^2 + 18*Ar_0*Ar_1 + 6*Ar_1 + 2, Cost: 1) evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 4*Ar_0 + 6*Ar_1 + 1, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_0 ] (Comp: 10*Ar_0 + 12*Ar_0^2 + 18*Ar_0*Ar_1 + 6*Ar_1 + 2, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ] (Comp: 2, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_1 ] (Comp: ?, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: 1, Cost: 1) evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 7 produces the following problem: 8: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 4*Ar_0 + 6*Ar_1 + 1, Cost: 1) evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, Ar_3 + 1)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 10*Ar_0 + 12*Ar_0^2 + 18*Ar_0*Ar_1 + 6*Ar_1 + 2, Cost: 1) evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 4*Ar_0 + 6*Ar_1 + 1, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_0 ] (Comp: 10*Ar_0 + 12*Ar_0^2 + 18*Ar_0*Ar_1 + 6*Ar_1 + 2, Cost: 1) evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ] (Comp: 2, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_1 ] (Comp: 14*Ar_0 + 12*Ar_0^2 + 18*Ar_0*Ar_1 + 12*Ar_1 + 4, Cost: 1) evalspeedpldi3bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3bb5in(Ar_0, Ar_1, 0, 0)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: 1, Cost: 1) evalspeedpldi3start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalspeedpldi3entryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 Complexity upper bound 42*Ar_0 + 36*Ar_1 + 36*Ar_0^2 + 54*Ar_0*Ar_1 + 18 Time: 2.502 sec (SMT: 2.388 sec)