WORST_CASE(?, O(n^2)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ] (Comp: ?, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ] (Comp: ?, Cost: 1) eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ] (Comp: ?, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ] (Comp: ?, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ] (Comp: ?, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ] (Comp: ?, Cost: 1) eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_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_insertsort_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_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ] (Comp: ?, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ] (Comp: ?, Cost: 1) eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ] (Comp: ?, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ] (Comp: ?, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ] (Comp: ?, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ] (Comp: ?, Cost: 1) eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_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_insertsort_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_insertsort_start) = 2 Pol(eval_insertsort_bb0_in) = 2 Pol(eval_insertsort_0) = 2 Pol(eval_insertsort_1) = 2 Pol(eval_insertsort_2) = 2 Pol(eval_insertsort_3) = 2 Pol(eval_insertsort_4) = 2 Pol(eval_insertsort_5) = 2 Pol(eval_insertsort_6) = 2 Pol(eval_insertsort_bb1_in) = 2 Pol(eval_insertsort_bb2_in) = 2 Pol(eval_insertsort_bb7_in) = 1 Pol(eval_insertsort_bb3_in) = 2 Pol(eval_insertsort_bb4_in) = 2 Pol(eval_insertsort_bb6_in) = 2 Pol(eval_insertsort_bb5_in) = 2 Pol(eval_insertsort_25) = 2 Pol(eval_insertsort_26) = 2 Pol(eval_insertsort_stop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ] (Comp: 2, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ] (Comp: ?, Cost: 1) eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ] (Comp: ?, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ] (Comp: ?, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ] (Comp: ?, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ] (Comp: ?, Cost: 1) eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) (Comp: 2, Cost: 1) eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_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_insertsort_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_insertsort_start) = 6*V_5 Pol(eval_insertsort_bb0_in) = 6*V_5 Pol(eval_insertsort_0) = 6*V_5 Pol(eval_insertsort_1) = 6*V_5 Pol(eval_insertsort_2) = 6*V_5 Pol(eval_insertsort_3) = 6*V_5 Pol(eval_insertsort_4) = 6*V_5 Pol(eval_insertsort_5) = 6*V_5 Pol(eval_insertsort_6) = 6*V_5 Pol(eval_insertsort_bb1_in) = -6*V_3 + 6*V_5 Pol(eval_insertsort_bb2_in) = -6*V_3 + 6*V_5 - 1 Pol(eval_insertsort_bb7_in) = -6*V_3 + 6*V_5 Pol(eval_insertsort_bb3_in) = -6*V_3 + 6*V_5 - 2 Pol(eval_insertsort_bb4_in) = -6*V_3 + 6*V_5 - 2 Pol(eval_insertsort_bb6_in) = -6*V_3 + 6*V_5 - 3 Pol(eval_insertsort_bb5_in) = -6*V_3 + 6*V_5 - 2 Pol(eval_insertsort_25) = -6*V_1 + 6*V_5 + 2 Pol(eval_insertsort_26) = -6*V_1 + 6*V_5 + 1 Pol(eval_insertsort_stop) = -6*V_3 + 6*V_5 Pol(koat_start) = 6*V_5 orients all transitions weakly and the transition eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 1) eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) (Comp: 6*Ar_4, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ] (Comp: 2, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ] (Comp: ?, Cost: 1) eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ] (Comp: ?, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ] (Comp: ?, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ] (Comp: ?, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ] (Comp: ?, Cost: 1) eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) (Comp: 2, Cost: 1) eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_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_insertsort_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 4 produces the following problem: 5: T: (Comp: 1, Cost: 1) eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) (Comp: 6*Ar_4, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ] (Comp: 2, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ] (Comp: 6*Ar_4, Cost: 1) eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ] (Comp: ?, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ] (Comp: ?, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ] (Comp: ?, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ] (Comp: ?, Cost: 1) eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) (Comp: 2, Cost: 1) eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_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_insertsort_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_insertsort_bb6_in) = 3 Pol(eval_insertsort_25) = 2 Pol(eval_insertsort_bb5_in) = 4 Pol(eval_insertsort_bb3_in) = 4 Pol(eval_insertsort_bb4_in) = 4 Pol(eval_insertsort_26) = 1 Pol(eval_insertsort_bb1_in) = 0 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_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_insertsort_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_insertsort_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_insertsort_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_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = ? S("eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ? S("eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-0) = ? S("eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-1) = ? S("eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-2) = ? S("eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-3) = ? S("eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = ? S("eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ? S("eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = ? S("eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ? S("eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4))", 0-0) = ? S("eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4))", 0-1) = ? S("eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4))", 0-2) = ? S("eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4))", 0-3) = ? S("eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ]", 0-0) = ? S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ]", 0-1) = ? S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ]", 0-2) = ? S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ]", 0-3) = ? S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ]", 0-4) = Ar_4 S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ]", 0-0) = ? S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ]", 0-1) = ? S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ]", 0-2) = ? S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ]", 0-3) = ? S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ]", 0-4) = Ar_4 S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ]", 0-0) = ? S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ]", 0-1) = ? S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ]", 0-2) = ? S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ]", 0-3) = ? S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ]", 0-4) = Ar_4 S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ]", 0-0) = ? S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ]", 0-1) = ? S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ]", 0-2) = ? S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ]", 0-3) = ? S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ]", 0-4) = Ar_4 S("eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4))", 0-0) = ? S("eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4))", 0-1) = ? S("eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4))", 0-2) = ? S("eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4))", 0-3) = ? S("eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ]", 0-0) = ? S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ]", 0-1) = ? S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ]", 0-2) = ? S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ]", 0-3) = ? S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ]", 0-4) = Ar_4 S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ]", 0-0) = ? S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ]", 0-1) = ? S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ]", 0-2) = ? S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ]", 0-3) = ? S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ]", 0-4) = Ar_4 S("eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4))", 0-2) = 1 S("eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ] eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ] eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ] eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ] eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) weakly and the transitions eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ] eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ] eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) strictly and produces the following problem: 6: T: (Comp: 1, Cost: 1) eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) (Comp: 6*Ar_4, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ] (Comp: 2, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ] (Comp: 6*Ar_4, Cost: 1) eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4)) (Comp: ?, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ] (Comp: 24*Ar_4, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ] (Comp: ?, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ] (Comp: 24*Ar_4, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ] (Comp: ?, Cost: 1) eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) (Comp: 24*Ar_4, Cost: 1) eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 24*Ar_4, Cost: 1) eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 24*Ar_4, Cost: 1) eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) (Comp: 2, Cost: 1) eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_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_insertsort_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_insertsort_bb5_in) = 3*V_4 - 1 Pol(eval_insertsort_bb3_in) = 3*V_4 + 1 Pol(eval_insertsort_bb4_in) = 3*V_4 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_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_insertsort_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_insertsort_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_insertsort_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_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = 24*Ar_0 + 24*Ar_4 + 7962624 S("eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ? S("eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = 24*Ar_4 + 332352 S("eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-0) = 24*Ar_4 + 13824 S("eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-1) = ? S("eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-2) = 24*Ar_4 + 576 S("eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-3) = ? S("eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = 24*Ar_4 + 576 S("eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ? S("eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = 24*Ar_4 + 331776 S("eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = 24*Ar_4 + 576 S("eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ? S("eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = 24*Ar_4 + 13824 S("eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4))", 0-0) = 24*Ar_0 + 24*Ar_4 + 191102976 S("eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4))", 0-1) = ? S("eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4))", 0-2) = 24*Ar_4 + 576 S("eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4))", 0-3) = ? S("eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ]", 0-0) = 24*Ar_0 + 24*Ar_4 + 4586471424 S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ]", 0-1) = ? S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ]", 0-2) = 24*Ar_4 + 576 S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ]", 0-3) = ? S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ]", 0-4) = Ar_4 S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ]", 0-0) = 24*Ar_0 + 24*Ar_4 + 191102976 S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ]", 0-1) = ? S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ]", 0-2) = 24*Ar_4 + 576 S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ]", 0-3) = ? S("eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ]", 0-4) = Ar_4 S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ]", 0-0) = 24*Ar_0 + 24*Ar_4 + 4586471424 S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ]", 0-1) = ? S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ]", 0-2) = 24*Ar_4 + 576 S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ]", 0-3) = ? S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ]", 0-4) = Ar_4 S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ]", 0-0) = 24*Ar_0 + 24*Ar_4 + 191102976 S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ]", 0-1) = ? S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ]", 0-2) = 24*Ar_4 + 576 S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ]", 0-3) = ? S("eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ]", 0-4) = Ar_4 S("eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4))", 0-0) = 24*Ar_0 + 24*Ar_4 + 7962624 S("eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4))", 0-1) = ? S("eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4))", 0-2) = 24*Ar_4 + 576 S("eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4))", 0-3) = 24*Ar_4 + 13848 S("eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ]", 0-0) = 24*Ar_0 + 24*Ar_4 + 331776 S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ]", 0-1) = ? S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ]", 0-2) = 24*Ar_4 + 13848 S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ]", 0-3) = ? S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ]", 0-4) = Ar_4 S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ]", 0-0) = 24*Ar_0 + 24*Ar_4 + 331776 S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ]", 0-1) = ? S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ]", 0-2) = 24*Ar_4 + 576 S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ]", 0-3) = ? S("eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ]", 0-4) = Ar_4 S("eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4))", 0-2) = 1 S("eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ] eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ] weakly and the transition eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 1) eval_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) (Comp: 6*Ar_4, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ] (Comp: 2, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ] (Comp: 6*Ar_4, Cost: 1) eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4)) (Comp: 432*Ar_4^2 + 249270*Ar_4, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ] (Comp: 24*Ar_4, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ] (Comp: ?, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ] (Comp: 24*Ar_4, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ] (Comp: ?, Cost: 1) eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) (Comp: 24*Ar_4, Cost: 1) eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 24*Ar_4, Cost: 1) eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 24*Ar_4, Cost: 1) eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) (Comp: 2, Cost: 1) eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_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_insertsort_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_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) eval_insertsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) (Comp: 6*Ar_4, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 < Ar_4 ] (Comp: 2, Cost: 1) eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_4 ] (Comp: 6*Ar_4, Cost: 1) eval_insertsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Fresh_0, Ar_2, Ar_2 - 1, Ar_4)) (Comp: 432*Ar_4^2 + 249270*Ar_4, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 0 ] (Comp: 24*Ar_4, Cost: 1) eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 < 0 ] (Comp: 432*Ar_4^2 + 249270*Ar_4, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 > Ar_1 ] (Comp: 24*Ar_4, Cost: 1) eval_insertsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ nondef_1 <= Ar_1 ] (Comp: 432*Ar_4^2 + 249270*Ar_4, Cost: 1) eval_insertsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) (Comp: 24*Ar_4, Cost: 1) eval_insertsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_25(Ar_2 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 24*Ar_4, Cost: 1) eval_insertsort_25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 24*Ar_4, Cost: 1) eval_insertsort_26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) (Comp: 2, Cost: 1) eval_insertsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(eval_insertsort_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_insertsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 747942*Ar_4 + 1296*Ar_4^2 + 13 Time: 1.932 sec (SMT: 1.801 sec)