WORST_CASE(?, O(n^1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_4, Ar_1, 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ] (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, 1, Ar_4)) (Comp: ?, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_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_start_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_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_4, Ar_1, 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ] (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, 1, Ar_4)) (Comp: ?, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_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_start_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_start_start) = 1 Pol(eval_start_bb0_in) = 1 Pol(eval_start_0) = 1 Pol(eval_start_1) = 1 Pol(eval_start_2) = 1 Pol(eval_start_3) = 1 Pol(eval_start_4) = 1 Pol(eval_start_5) = 1 Pol(eval_start_bb1_in) = 1 Pol(eval_start_bb2_in) = 1 Pol(eval_start_bb4_in) = 0 Pol(eval_start_bb3_in) = 1 Pol(eval_start_stop) = -1 Pol(koat_start) = 1 orients all transitions weakly and the transition eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_4, Ar_1, 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ] (Comp: 1, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, 1, Ar_4)) (Comp: ?, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_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_start_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 3 produces the following problem: 4: T: (Comp: 1, Cost: 1) eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_4, Ar_1, 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ] (Comp: 1, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, 1, Ar_4)) (Comp: 1, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_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_start_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_start_start) = 2*V_5 Pol(eval_start_bb0_in) = 2*V_5 Pol(eval_start_0) = 2*V_5 Pol(eval_start_1) = 2*V_5 Pol(eval_start_2) = 2*V_5 Pol(eval_start_3) = 2*V_5 Pol(eval_start_4) = 2*V_5 Pol(eval_start_5) = 2*V_5 Pol(eval_start_bb1_in) = 2*V_1 Pol(eval_start_bb2_in) = 2*V_2 Pol(eval_start_bb4_in) = 2*V_1 Pol(eval_start_bb3_in) = 2*V_2 - 1 Pol(eval_start_stop) = 2*V_1 Pol(koat_start) = 2*V_5 orients all transitions weakly and the transition eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 1) eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_4, Ar_1, 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ] (Comp: 1, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ] (Comp: 2*Ar_4, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, 1, Ar_4)) (Comp: 1, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_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_start_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 5 produces the following problem: 6: T: (Comp: 1, Cost: 1) eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_4, Ar_1, 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ] (Comp: 1, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ] (Comp: 2*Ar_4, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ] (Comp: 2*Ar_4, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, 1, Ar_4)) (Comp: 1, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_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_start_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_start_bb2_in) = 2*V_4 + 1 Pol(eval_start_bb1_in) = 2*V_3 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = 3*Ar_4 S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = 3*Ar_4 S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = 1 S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = 1 S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, 1, Ar_4))", 0-0) = 3*Ar_4 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, 1, Ar_4))", 0-1) = 3*Ar_4 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, 1, Ar_4))", 0-2) = 1 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, 1, Ar_4))", 0-3) = 1 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, 1, Ar_4))", 0-4) = Ar_4 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ]", 0-0) = 3*Ar_4 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ]", 0-1) = 3*Ar_4 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ]", 0-2) = 1 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ]", 0-3) = 1 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ]", 0-4) = Ar_4 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]", 0-0) = 3*Ar_4 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]", 0-1) = 3*Ar_4 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]", 0-2) = 1 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]", 0-3) = 1 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]", 0-4) = Ar_4 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ]", 0-0) = 3*Ar_4 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ]", 0-1) = 3*Ar_4 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ]", 0-2) = 1 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ]", 0-3) = 1 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ]", 0-4) = Ar_4 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ]", 0-0) = 3*Ar_4 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ]", 0-1) = 3*Ar_4 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ]", 0-2) = 1 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ]", 0-3) = 0 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ]", 0-4) = Ar_4 S("eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_4, Ar_1, 1, Ar_3, Ar_4))", 0-0) = Ar_4 S("eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_4, Ar_1, 1, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_4, Ar_1, 1, Ar_3, Ar_4))", 0-2) = 1 S("eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_4, Ar_1, 1, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_4, Ar_1, 1, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ] eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ] weakly and the transition eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 1) eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_4, Ar_1, 1, Ar_3, Ar_4)) (Comp: 6*Ar_4 + 2, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ] (Comp: 1, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ] (Comp: 2*Ar_4, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ] (Comp: 2*Ar_4, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, 1, Ar_4)) (Comp: 1, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_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_start_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 7 produces the following problem: 8: T: (Comp: 1, Cost: 1) eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_4, Ar_1, 1, Ar_3, Ar_4)) (Comp: 6*Ar_4 + 2, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_0, Ar_2, 0, Ar_4)) [ Ar_2 > 0 ] (Comp: 1, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 <= 0 ] (Comp: 2*Ar_4, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ] (Comp: 8*Ar_4 + 2, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_1, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_1 <= 0 ] (Comp: 2*Ar_4, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, 1, Ar_4)) (Comp: 1, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_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_start_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 18*Ar_4 + 14 Time: 1.263 sec (SMT: 1.205 sec)