MAYBE Initial complexity problem: 1: T: (Comp: ?, Cost: 1) eval_speedFails3_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_speedFails3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_speedFails3_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_speedFails3_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_speedFails3_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_speedFails3_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_4(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_speedFails3_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_speedFails3_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_speedFails3_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_speedFails3_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb1_in(Ar_4, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\ Ar_0 <= Ar_2 ] (Comp: ?, Cost: 1) eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 < 0 ] (Comp: ?, Cost: 1) eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 > Ar_2 ] (Comp: ?, Cost: 1) eval_speedFails3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb1_in(Ar_0 + Ar_3, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_speedFails3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb1_in(Ar_0 - Ar_3, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 <= 0 ] (Comp: ?, Cost: 1) eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) eval_speedFails3_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_4(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb1_in(Ar_4, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\ Ar_0 <= Ar_2 ] (Comp: ?, Cost: 1) eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 < 0 ] (Comp: ?, Cost: 1) eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 > Ar_2 ] (Comp: ?, Cost: 1) eval_speedFails3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb1_in(Ar_0 + Ar_3, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_speedFails3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb1_in(Ar_0 - Ar_3, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 <= 0 ] (Comp: ?, Cost: 1) eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(eval_speedFails3_start) = 2 Pol(eval_speedFails3_bb0_in) = 2 Pol(eval_speedFails3_0) = 2 Pol(eval_speedFails3_1) = 2 Pol(eval_speedFails3_2) = 2 Pol(eval_speedFails3_3) = 2 Pol(eval_speedFails3_4) = 2 Pol(eval_speedFails3_5) = 2 Pol(eval_speedFails3_6) = 2 Pol(eval_speedFails3_7) = 2 Pol(eval_speedFails3_bb1_in) = 2 Pol(eval_speedFails3_bb2_in) = 2 Pol(eval_speedFails3_bb3_in) = 1 Pol(eval_speedFails3_stop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 < 0 ] eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 > Ar_2 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) eval_speedFails3_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_4(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb1_in(Ar_4, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\ Ar_0 <= Ar_2 ] (Comp: 2, Cost: 1) eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 < 0 ] (Comp: 2, Cost: 1) eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 > Ar_2 ] (Comp: ?, Cost: 1) eval_speedFails3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb1_in(Ar_0 + Ar_3, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_speedFails3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb1_in(Ar_0 - Ar_3, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 <= 0 ] (Comp: 2, Cost: 1) eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 3 to obtain the following invariants: For symbol eval_speedFails3_bb2_in: X_3 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ X_1 >= 0 This yielded the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] (Comp: 2, Cost: 1) eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_speedFails3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb1_in(Ar_0 - Ar_3, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_1 <= 0 ] (Comp: ?, Cost: 1) eval_speedFails3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb1_in(Ar_0 + Ar_3, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_1 > 0 ] (Comp: 2, Cost: 1) eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 > Ar_2 ] (Comp: 2, Cost: 1) eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 < 0 ] (Comp: ?, Cost: 1) eval_speedFails3_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\ Ar_0 <= Ar_2 ] (Comp: 1, Cost: 1) eval_speedFails3_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb1_in(Ar_4, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_4(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_speedFails3_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_speedFails3_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) start location: koat_start leaf cost: 0 Complexity upper bound ? Time: 4.046 sec (SMT: 3.878 sec)