WORST_CASE(?, O(n^1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ] (Comp: ?, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\ Ar_3 <= 9 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ] (Comp: ?, Cost: 1) eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) (Comp: ?, Cost: 1) eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_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_wcet2_start(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) eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ] (Comp: ?, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\ Ar_3 <= 9 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ] (Comp: ?, Cost: 1) eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) (Comp: ?, Cost: 1) eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_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_wcet2_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_wcet2_start) = 1 Pol(eval_wcet2_bb0_in) = 1 Pol(eval_wcet2_0) = 1 Pol(eval_wcet2_1) = 1 Pol(eval_wcet2_2) = 1 Pol(eval_wcet2_3) = 1 Pol(eval_wcet2_bb1_in) = 1 Pol(eval_wcet2_bb2_in) = 1 Pol(eval_wcet2_bb5_in) = 0 Pol(eval_wcet2_bb3_in) = 1 Pol(eval_wcet2_bb4_in) = 1 Pol(eval_wcet2_7) = 1 Pol(eval_wcet2_8) = 1 Pol(eval_wcet2_stop) = -1 Pol(koat_start) = 1 orients all transitions weakly and the transition eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ] (Comp: 1, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\ Ar_3 <= 9 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ] (Comp: ?, Cost: 1) eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) (Comp: ?, Cost: 1) eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_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_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 3 produces the following problem: 4: T: (Comp: 1, Cost: 1) eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ] (Comp: 1, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\ Ar_3 <= 9 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ] (Comp: ?, Cost: 1) eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) (Comp: ?, Cost: 1) eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_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_wcet2_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_wcet2_start) = -25*V_3 + 190 Pol(eval_wcet2_bb0_in) = -25*V_3 + 190 Pol(eval_wcet2_0) = -25*V_3 + 190 Pol(eval_wcet2_1) = -25*V_3 + 190 Pol(eval_wcet2_2) = -25*V_3 + 190 Pol(eval_wcet2_3) = -25*V_3 + 190 Pol(eval_wcet2_bb1_in) = -25*V_1 + 190 Pol(eval_wcet2_bb2_in) = -25*V_1 + 180 Pol(eval_wcet2_bb5_in) = -25*V_1 + 190 Pol(eval_wcet2_bb3_in) = -25*V_1 + 180 Pol(eval_wcet2_bb4_in) = -25*V_1 + 165 Pol(eval_wcet2_7) = -25*V_2 + 190 Pol(eval_wcet2_8) = -25*V_2 + 190 Pol(eval_wcet2_stop) = -25*V_1 + 190 Pol(koat_start) = -25*V_3 + 190 orients all transitions weakly and the transition eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 1) eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ] (Comp: 1, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\ Ar_3 <= 9 ] (Comp: 25*Ar_2 + 190, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ] (Comp: ?, Cost: 1) eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) (Comp: ?, Cost: 1) eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_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_wcet2_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_wcet2_start) = -V_3 + 5 Pol(eval_wcet2_bb0_in) = -V_3 + 5 Pol(eval_wcet2_0) = -V_3 + 5 Pol(eval_wcet2_1) = -V_3 + 5 Pol(eval_wcet2_2) = -V_3 + 5 Pol(eval_wcet2_3) = -V_3 + 5 Pol(eval_wcet2_bb1_in) = -V_1 + 5 Pol(eval_wcet2_bb2_in) = -V_1 + 4 Pol(eval_wcet2_bb5_in) = -V_1 + 5 Pol(eval_wcet2_bb3_in) = -V_1 + 4 Pol(eval_wcet2_bb4_in) = -V_1 + 4 Pol(eval_wcet2_7) = -V_2 + 5 Pol(eval_wcet2_8) = -V_2 + 5 Pol(eval_wcet2_stop) = -V_1 + 5 Pol(koat_start) = -V_3 + 5 orients all transitions weakly and the transition eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 1) eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: Ar_2 + 5, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ] (Comp: 1, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\ Ar_3 <= 9 ] (Comp: 25*Ar_2 + 190, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ] (Comp: ?, Cost: 1) eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) (Comp: ?, Cost: 1) eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_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_wcet2_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_wcet2_bb4_in) = 2 Pol(eval_wcet2_7) = 1 Pol(eval_wcet2_bb3_in) = 3 Pol(eval_wcet2_bb2_in) = 3 Pol(eval_wcet2_8) = 0 Pol(eval_wcet2_bb1_in) = -1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_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_wcet2_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_wcet2_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_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ? S("eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-0) = ? S("eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ? S("eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3))", 0-0) = ? S("eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3))", 0-1) = ? S("eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3))", 0-3) = ? S("eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1))", 0-0) = ? S("eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1))", 0-1) = ? S("eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1))", 0-2) = Ar_2 S("eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1))", 0-3) = ? S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ]", 0-0) = ? S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ]", 0-1) = ? S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ]", 0-2) = Ar_2 S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ]", 0-3) = ? S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ]", 0-0) = ? S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ]", 0-1) = ? S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ]", 0-2) = Ar_2 S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ]", 0-3) = ? S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\\ Ar_3 <= 9 ]", 0-0) = ? S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\\ Ar_3 <= 9 ]", 0-1) = ? S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\\ Ar_3 <= 9 ]", 0-2) = Ar_2 S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\\ Ar_3 <= 9 ]", 0-3) = ? S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ]", 0-0) = ? S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ]", 0-1) = ? S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ]", 0-2) = Ar_2 S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ]", 0-3) = ? S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ]", 0-0) = ? S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ]", 0-1) = ? S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ]", 0-2) = Ar_2 S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ]", 0-3) = 0 S("eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_2 S("eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 orients the transitions eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3)) eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ] eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\ Ar_3 <= 9 ] eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3)) eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3)) weakly and the transitions eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3)) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ] eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3)) strictly and produces the following problem: 7: T: (Comp: 1, Cost: 1) eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: Ar_2 + 5, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ] (Comp: 1, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\ Ar_3 <= 9 ] (Comp: 25*Ar_2 + 190, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ] (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ] (Comp: ?, Cost: 1) eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3)) (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_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_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 7 produces the following problem: 8: T: (Comp: 1, Cost: 1) eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: Ar_2 + 5, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ] (Comp: 1, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ] (Comp: ?, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\ Ar_3 <= 9 ] (Comp: 25*Ar_2 + 190, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ] (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ] (Comp: ?, Cost: 1) eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3)) (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_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_wcet2_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_wcet2_bb3_in) = -2*V_4 + 18 Pol(eval_wcet2_bb2_in) = -2*V_4 + 19 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_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_wcet2_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_wcet2_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_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 54*Ar_2 + 3358707120 S("eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = 54*Ar_1 + 54*Ar_2 + 181370184480 S("eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-0) = 54*Ar_2 + 1151820 S("eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-1) = 54*Ar_2 + 62198280 S("eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 54*Ar_2 + 3358707120 S("eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = 54*Ar_2 + 1151820 S("eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3))", 0-0) = 54*Ar_2 + 62198280 S("eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3))", 0-1) = 54*Ar_2 + 1151820 S("eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3))", 0-3) = ? S("eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1))", 0-0) = 54*Ar_2 + 1151820 S("eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1))", 0-1) = 54*Ar_1 + 54*Ar_2 + 181370184480 S("eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1))", 0-2) = Ar_2 S("eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1))", 0-3) = ? S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ]", 0-0) = 54*Ar_2 + 1151820 S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ]", 0-1) = 54*Ar_1 + 54*Ar_2 + 9793989961920 S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ]", 0-2) = Ar_2 S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ]", 0-3) = ? S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ]", 0-0) = 54*Ar_2 + 1151820 S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ]", 0-1) = 54*Ar_1 + 54*Ar_2 + 9793989961920 S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ]", 0-2) = Ar_2 S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ]", 0-3) = ? S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\\ Ar_3 <= 9 ]", 0-0) = 54*Ar_2 + 1151820 S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\\ Ar_3 <= 9 ]", 0-1) = 54*Ar_1 + 54*Ar_2 + 181370184480 S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\\ Ar_3 <= 9 ]", 0-2) = Ar_2 S("eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\\ Ar_3 <= 9 ]", 0-3) = ? S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ]", 0-0) = 54*Ar_2 + 62198280 S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ]", 0-1) = 54*Ar_1 + 54*Ar_2 + 3358707120 S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ]", 0-2) = Ar_2 S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ]", 0-3) = ? S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ]", 0-0) = 54*Ar_2 + 1151820 S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ]", 0-1) = 54*Ar_1 + 54*Ar_2 + 3358707120 S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ]", 0-2) = Ar_2 S("eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ]", 0-3) = 0 S("eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_2 S("eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 orients the transitions eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\ Ar_3 <= 9 ] weakly and the transition eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\ Ar_3 <= 9 ] strictly and produces the following problem: 9: T: (Comp: 1, Cost: 1) eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: Ar_2 + 5, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ] (Comp: 1, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ] (Comp: 19*Ar_2 + 95, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\ Ar_3 <= 9 ] (Comp: 25*Ar_2 + 190, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ] (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ] (Comp: ?, Cost: 1) eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3)) (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_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_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 9 produces the following problem: 10: T: (Comp: 1, Cost: 1) eval_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: Ar_2 + 5, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_0 < 5 ] (Comp: 1, Cost: 1) eval_wcet2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 5 ] (Comp: 19*Ar_2 + 95, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 2 /\ Ar_3 <= 9 ] (Comp: 25*Ar_2 + 190, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 2 ] (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 9 ] (Comp: 19*Ar_2 + 95, Cost: 1) eval_wcet2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_7(Ar_0, Ar_0 + 1, Ar_2, Ar_3)) (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 53*Ar_2 + 395, Cost: 1) eval_wcet2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_bb1_in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wcet2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wcet2_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_wcet2_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 276*Ar_2 + 1973 Time: 1.427 sec (SMT: 1.355 sec)