WORST_CASE(?, O(n^2)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ] (Comp: ?, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\ Ar_3 > Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_3 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 < Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 < Ar_2 /\ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, 0, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 /\ Ar_1 < Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transitions from problem 1: eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 < Ar_2 /\ Ar_1 >= Ar_2 ] eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, 0, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 /\ Ar_1 < Ar_2 ] We thus obtain the following problem: 2: T: (Comp: ?, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 < Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_3 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\ Ar_3 > Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ] (Comp: ?, Cost: 1) eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 2 produces the following problem: 3: T: (Comp: ?, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 < Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_3 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\ Ar_3 > Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ] (Comp: 1, Cost: 1) eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(eval_speedpldi3_bb1_in) = 1 Pol(eval_speedpldi3_bb3_in) = 0 Pol(eval_speedpldi3_bb2_in) = 1 Pol(eval_speedpldi3_stop) = -1 Pol(eval_speedpldi3_2) = 1 Pol(eval_speedpldi3_1) = 1 Pol(eval_speedpldi3_0) = 1 Pol(eval_speedpldi3_bb0_in) = 1 Pol(eval_speedpldi3_start) = 1 Pol(koat_start) = 1 orients all transitions weakly and the transition eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 < Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_3 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\ Ar_3 > Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ] (Comp: 1, Cost: 1) eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_start(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) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 < Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_3 ] (Comp: 3, Cost: 1) eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\ Ar_3 > Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ] (Comp: 1, Cost: 1) eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 5 to obtain the following invariants: For symbol eval_speedpldi3_bb1_in: X_4 - 2 >= 0 /\ X_3 + X_4 - 3 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol eval_speedpldi3_bb2_in: X_4 - 2 >= 0 /\ X_3 + X_4 - 3 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ -X_1 + X_4 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 This yielded the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\ Ar_3 > Ar_2 ] (Comp: 3, Cost: 1) eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 < Ar_3 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 < Ar_2 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= Ar_3 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(eval_speedpldi3_bb2_in) = -V_1 + V_4 Pol(eval_speedpldi3_bb1_in) = -V_1 + V_4 and size complexities S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 >= Ar_3 ]", 0-0) = Ar_3 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 >= Ar_3 ]", 0-1) = 0 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 >= Ar_3 ]", 0-2) = Ar_2 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 >= Ar_3 ]", 0-3) = Ar_3 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 ]", 0-0) = Ar_3 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 ]", 0-1) = 0 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 ]", 0-2) = Ar_2 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 ]", 0-3) = Ar_3 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 < Ar_2 ]", 0-0) = Ar_3 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 < Ar_2 ]", 0-1) = Ar_2 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 < Ar_2 ]", 0-2) = Ar_2 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 < Ar_2 ]", 0-3) = Ar_3 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 < Ar_3 ]", 0-0) = Ar_3 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 < Ar_3 ]", 0-1) = Ar_2 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 < Ar_3 ]", 0-2) = Ar_2 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 < Ar_3 ]", 0-3) = Ar_3 S("eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 + Ar_3 S("eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\\ Ar_3 > Ar_2 ]", 0-0) = 0 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\\ Ar_3 > Ar_2 ]", 0-1) = 0 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\\ Ar_3 > Ar_2 ]", 0-2) = Ar_2 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\\ Ar_3 > Ar_2 ]", 0-3) = Ar_3 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ]", 0-0) = Ar_0 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ]", 0-1) = Ar_1 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ]", 0-2) = Ar_2 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ]", 0-3) = Ar_3 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-0) = Ar_0 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-1) = Ar_1 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-2) = Ar_2 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-3) = Ar_3 S("eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_start(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(eval_speedpldi3_start(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(eval_speedpldi3_start(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(eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 ] eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 < Ar_2 ] eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 < Ar_3 ] weakly and the transition eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\ Ar_3 > Ar_2 ] (Comp: 3, Cost: 1) eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 < Ar_3 ] (Comp: ?, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 < Ar_2 ] (Comp: Ar_3, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= Ar_3 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(eval_speedpldi3_bb2_in) = -2*V_2 + 2*V_3 + 6 Pol(eval_speedpldi3_bb1_in) = -2*V_2 + 2*V_3 + 7 and size complexities S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 >= Ar_3 ]", 0-0) = Ar_3 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 >= Ar_3 ]", 0-1) = 0 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 >= Ar_3 ]", 0-2) = Ar_2 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 >= Ar_3 ]", 0-3) = Ar_3 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 ]", 0-0) = Ar_3 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 ]", 0-1) = 0 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 ]", 0-2) = Ar_2 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 ]", 0-3) = Ar_3 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 < Ar_2 ]", 0-0) = Ar_3 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 < Ar_2 ]", 0-1) = Ar_2 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 < Ar_2 ]", 0-2) = Ar_2 S("eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 < Ar_2 ]", 0-3) = Ar_3 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 < Ar_3 ]", 0-0) = Ar_3 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 < Ar_3 ]", 0-1) = Ar_2 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 < Ar_3 ]", 0-2) = Ar_2 S("eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 < Ar_3 ]", 0-3) = Ar_3 S("eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 + Ar_3 S("eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\\ Ar_3 > Ar_2 ]", 0-0) = 0 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\\ Ar_3 > Ar_2 ]", 0-1) = 0 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\\ Ar_3 > Ar_2 ]", 0-2) = Ar_2 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\\ Ar_3 > Ar_2 ]", 0-3) = Ar_3 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ]", 0-0) = Ar_0 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ]", 0-1) = Ar_1 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ]", 0-2) = Ar_2 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ]", 0-3) = Ar_3 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-0) = Ar_0 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-1) = Ar_1 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-2) = Ar_2 S("eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-3) = Ar_3 S("eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_start(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(eval_speedpldi3_start(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(eval_speedpldi3_start(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(eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 < Ar_2 ] eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 < Ar_3 ] weakly and the transition eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 < Ar_2 ] strictly and produces the following problem: 8: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\ Ar_3 > Ar_2 ] (Comp: 3, Cost: 1) eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 < Ar_3 ] (Comp: 2*Ar_2*Ar_3 + 7*Ar_3 + 2*Ar_2 + 7, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 < Ar_2 ] (Comp: Ar_3, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= Ar_3 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 8 produces the following problem: 9: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) eval_speedpldi3_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(0, 0, Ar_2, Ar_3)) [ Ar_2 > 0 /\ Ar_3 > Ar_2 ] (Comp: 3, Cost: 1) eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 8*Ar_3 + 2*Ar_2*Ar_3 + 2*Ar_2 + 8, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 < Ar_3 ] (Comp: 2*Ar_2*Ar_3 + 7*Ar_3 + 2*Ar_2 + 7, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 < Ar_2 ] (Comp: Ar_3, Cost: 1) eval_speedpldi3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb1_in(Ar_0 + 1, 0, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 ] (Comp: 1, Cost: 1) eval_speedpldi3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_speedpldi3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= Ar_3 ] start location: koat_start leaf cost: 0 Complexity upper bound 16*Ar_3 + 4*Ar_2*Ar_3 + 4*Ar_2 + 26 Time: 2.656 sec (SMT: 2.560 sec)