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_bb1_in(Ar_0, Ar_1, Ar_2, 0, 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_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ] (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_3 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ] (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_bb1_in(Ar_0, Ar_1, Ar_2, 0, 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_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ] (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_3 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ] (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_bb1_in) = 1 Pol(eval_start_bb2_in) = 1 Pol(eval_start_bb4_in) = 0 Pol(eval_start_bb3_in) = 1 Pol(eval_start_6) = 1 Pol(eval_start_7) = 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_3 >= Ar_2 ] 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_bb1_in(Ar_0, Ar_1, Ar_2, 0, 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_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ] (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_3 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ] (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_bb1_in(Ar_0, Ar_1, Ar_2, 0, 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_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ] (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_3 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ] (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) = V_3 + 2 Pol(eval_start_bb0_in) = V_3 + 2 Pol(eval_start_0) = V_3 + 2 Pol(eval_start_1) = V_3 + 2 Pol(eval_start_2) = V_3 + 2 Pol(eval_start_3) = V_3 + 2 Pol(eval_start_bb1_in) = V_3 - V_4 + 2 Pol(eval_start_bb2_in) = V_3 - V_5 + 1 Pol(eval_start_bb4_in) = V_3 - V_4 + 2 Pol(eval_start_bb3_in) = -V_1 + V_3 + 2 Pol(eval_start_6) = -V_1 + V_3 + 2 Pol(eval_start_7) = -V_1 + V_3 + 2 Pol(eval_start_stop) = V_3 - V_4 + 2 Pol(koat_start) = V_3 + 2 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_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ] 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_bb1_in(Ar_0, Ar_1, Ar_2, 0, Ar_4)) (Comp: Ar_2 + 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_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ] (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_3 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ] (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_bb3_in) = 1 Pol(eval_start_6) = 1 Pol(eval_start_bb2_in) = 1 Pol(eval_start_bb1_in) = 0 Pol(eval_start_7) = 1 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) = ? 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) = ? 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) = Ar_2 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) = ? 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) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ]", 0-0) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ]", 0-1) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ]", 0-2) = Ar_2 S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ]", 0-3) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ]", 0-4) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ]", 0-0) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ]", 0-1) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ]", 0-2) = Ar_2 S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ]", 0-3) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ]", 0-4) = ? S("eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4))", 0-0) = ? S("eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4))", 0-1) = ? S("eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = ? S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ? S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ]", 0-0) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ]", 0-1) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ]", 0-2) = Ar_2 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ]", 0-3) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ]", 0-4) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ]", 0-0) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ]", 0-1) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ]", 0-2) = Ar_2 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ]", 0-3) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ]", 0-4) = ? 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_3 >= Ar_2 ]", 0-0) = ? 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_3 >= Ar_2 ]", 0-1) = ? 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_3 >= Ar_2 ]", 0-2) = Ar_2 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_3 >= Ar_2 ]", 0-3) = ? 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_3 >= Ar_2 ]", 0-4) = ? S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ]", 0-0) = ? S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ]", 0-1) = ? S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ]", 0-2) = Ar_2 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ]", 0-3) = ? S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ]", 0-4) = ? S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0, Ar_4))", 0-0) = Ar_0 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0, Ar_4))", 0-1) = Ar_1 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0, Ar_4))", 0-2) = Ar_2 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0, Ar_4))", 0-3) = 0 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0, 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_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ] eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ] eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ] eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ] eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) weakly and the transition eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ] strictly and 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_bb1_in(Ar_0, Ar_1, Ar_2, 0, Ar_4)) (Comp: Ar_2 + 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_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ] (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_3 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_2 + 2, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ] (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_bb3_in) = 1 Pol(eval_start_6) = 1 Pol(eval_start_bb2_in) = 1 Pol(eval_start_bb1_in) = 0 Pol(eval_start_7) = 1 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) = ? 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) = ? 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) = Ar_2 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) = ? 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) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ]", 0-0) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ]", 0-1) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ]", 0-2) = Ar_2 S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ]", 0-3) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ]", 0-4) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ]", 0-0) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ]", 0-1) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ]", 0-2) = Ar_2 S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ]", 0-3) = ? S("eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ]", 0-4) = ? S("eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4))", 0-0) = ? S("eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4))", 0-1) = ? S("eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = ? S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ? S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ]", 0-0) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ]", 0-1) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ]", 0-2) = Ar_2 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ]", 0-3) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ]", 0-4) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ]", 0-0) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ]", 0-1) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ]", 0-2) = Ar_2 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ]", 0-3) = ? S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ]", 0-4) = ? 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_3 >= Ar_2 ]", 0-0) = ? 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_3 >= Ar_2 ]", 0-1) = ? 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_3 >= Ar_2 ]", 0-2) = Ar_2 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_3 >= Ar_2 ]", 0-3) = ? 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_3 >= Ar_2 ]", 0-4) = ? S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ]", 0-0) = ? S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ]", 0-1) = ? S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ]", 0-2) = Ar_2 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ]", 0-3) = ? S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ]", 0-4) = ? S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0, Ar_4))", 0-0) = Ar_0 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0, Ar_4))", 0-1) = Ar_1 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0, Ar_4))", 0-2) = Ar_2 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0, Ar_4))", 0-3) = 0 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0, 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_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ] eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ] eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ] eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) weakly and the transition eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ] 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_bb1_in(Ar_0, Ar_1, Ar_2, 0, Ar_4)) (Comp: Ar_2 + 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_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ] (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_3 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ] (Comp: Ar_2 + 2, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_2 + 2, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ] (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) = V_3 Pol(eval_start_bb0_in) = V_3 Pol(eval_start_0) = V_3 Pol(eval_start_1) = V_3 Pol(eval_start_2) = V_3 Pol(eval_start_3) = V_3 Pol(eval_start_bb1_in) = V_3 - V_4 Pol(eval_start_bb2_in) = V_3 - V_5 Pol(eval_start_bb4_in) = V_3 - V_4 Pol(eval_start_bb3_in) = -V_1 + V_3 Pol(eval_start_6) = -V_1 + V_3 Pol(eval_start_7) = -V_1 + V_3 Pol(eval_start_stop) = V_3 - V_4 Pol(koat_start) = V_3 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_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ] strictly and 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_bb1_in(Ar_0, Ar_1, Ar_2, 0, Ar_4)) (Comp: Ar_2 + 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_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ] (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_3 >= Ar_2 ] (Comp: Ar_2, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ] (Comp: Ar_2 + 2, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_2 + 2, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ] (Comp: ?, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ] (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 8 produces the following problem: 9: 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_bb1_in(Ar_0, Ar_1, Ar_2, 0, Ar_4)) (Comp: Ar_2 + 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_1, Ar_2, Ar_3, Ar_3)) [ Ar_3 < Ar_2 ] (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_3 >= Ar_2 ] (Comp: Ar_2, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb3_in(Ar_4 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 + 1 < Ar_2 ] (Comp: Ar_2 + 2, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_4)) [ Ar_4 + 1 >= Ar_2 ] (Comp: Ar_2, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: Ar_2, Cost: 1) eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_7(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) (Comp: Ar_2 + 2, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_0, Ar_4)) [ Ar_1 > 0 ] (Comp: Ar_2, Cost: 1) eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0)) [ Ar_1 <= 0 ] (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 7*Ar_2 + 14 Time: 1.581 sec (SMT: 1.505 sec)