WORST_CASE(?, O(n^1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 > 0 /\ Ar_4 >= 1 ] (Comp: ?, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb3_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 2*Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ 2*Ar_4 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_1 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_15(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6, Ar_7)) [ Ar_3 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_3 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_2 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 >= 1 /\ Ar_2 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_18(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_2, Ar_7)) [ Ar_0 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_0 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 < Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 > Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 = Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 >= 1 /\ Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= 1 /\ Ar_6 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transitions from problem 1: eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 < 1 ] eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 > Ar_7 ] eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 > Ar_7 ] We thus obtain the following problem: 2: T: (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_0 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_2, Ar_7)) [ Ar_0 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_18(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 >= 1 /\ Ar_2 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= 1 /\ Ar_6 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_3 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6, Ar_7)) [ Ar_3 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 >= 1 /\ Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_15(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 = Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 > Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 < Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_2 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_1 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ 2*Ar_4 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb3_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 2*Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 > 0 /\ Ar_4 >= 1 ] (Comp: ?, Cost: 1) eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 2 produces the following problem: 3: T: (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_0 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_2, Ar_7)) [ Ar_0 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_18(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 >= 1 /\ Ar_2 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= 1 /\ Ar_6 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_3 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6, Ar_7)) [ Ar_3 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 >= 1 /\ Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_15(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 = Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 > Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 < Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_2 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_1 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ 2*Ar_4 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb3_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 2*Ar_4 <= Ar_7 ] (Comp: 1, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 > 0 /\ Ar_4 >= 1 ] (Comp: 1, Cost: 1) eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(eval_heapsort_18) = 2 Pol(eval_heapsort_bb8_in) = 2 Pol(eval_heapsort_17) = 2 Pol(eval_heapsort_bb7_in) = 2 Pol(eval_heapsort_bb6_in) = 2 Pol(eval_heapsort_bb11_in) = 1 Pol(eval_heapsort_bb5_in) = 2 Pol(eval_heapsort_bb10_in) = 2 Pol(eval_heapsort_bb1_in) = 2 Pol(eval_heapsort_15) = 2 Pol(eval_heapsort_bb9_in) = 2 Pol(eval_heapsort_14) = 2 Pol(eval_heapsort_bb4_in) = 2 Pol(eval_heapsort_bb3_in) = 2 Pol(eval_heapsort_stop) = 0 Pol(eval_heapsort_bb2_in) = 2 Pol(eval_heapsort_9) = 2 Pol(eval_heapsort_8) = 2 Pol(eval_heapsort_7) = 2 Pol(eval_heapsort_6) = 2 Pol(eval_heapsort_5) = 2 Pol(eval_heapsort_4) = 2 Pol(eval_heapsort_3) = 2 Pol(eval_heapsort_2) = 2 Pol(eval_heapsort_1) = 2 Pol(eval_heapsort_0) = 2 Pol(eval_heapsort_bb0_in) = 2 Pol(eval_heapsort_start) = 2 Pol(koat_start) = 2 orients all transitions weakly and the transitions eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 < 1 ] eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 > Ar_7 ] eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 = Ar_6 ] eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 < 1 ] eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 < 1 ] eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 < 1 ] eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 > Ar_7 ] strictly and produces the following problem: 4: T: (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_0 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_2, Ar_7)) [ Ar_0 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_18(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 >= 1 /\ Ar_2 <= Ar_7 ] (Comp: 2, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= 1 /\ Ar_6 <= Ar_7 ] (Comp: 2, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 > Ar_7 ] (Comp: 2, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_3 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6, Ar_7)) [ Ar_3 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 >= 1 /\ Ar_4 <= Ar_7 ] (Comp: 2, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 > Ar_7 ] (Comp: 2, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_15(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 2, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 = Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 > Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 < Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_2 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_1 <= Ar_7 ] (Comp: 2, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 < 1 ] (Comp: 2, Cost: 1) eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ 2*Ar_4 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb3_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 2*Ar_4 <= Ar_7 ] (Comp: 1, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 > 0 /\ Ar_4 >= 1 ] (Comp: 1, Cost: 1) eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 4 to obtain the following invariants: For symbol eval_heapsort_14: X_8 - 2 >= 0 /\ X_5 + X_8 - 3 >= 0 /\ -X_5 + X_8 - 1 >= 0 /\ X_3 + X_8 - 5 >= 0 /\ X_2 + X_8 - 4 >= 0 /\ -X_2 + X_8 >= 0 /\ X_3 - X_5 - 2 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 4 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_3 - 3 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_2 - 2 >= 0 For symbol eval_heapsort_15: X_8 - 2 >= 0 /\ X_5 + X_8 - 3 >= 0 /\ -X_5 + X_8 - 1 >= 0 /\ X_3 + X_8 - 5 >= 0 /\ X_2 + X_8 - 4 >= 0 /\ -X_2 + X_8 >= 0 /\ X_3 - X_5 - 2 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 4 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_3 - 3 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_2 - 2 >= 0 For symbol eval_heapsort_17: X_8 - 3 >= 0 /\ X_6 + X_8 - 4 >= 0 /\ X_5 + X_8 - 4 >= 0 /\ -X_5 + X_8 - 2 >= 0 /\ X_3 + X_8 - 6 >= 0 /\ -X_3 + X_8 >= 0 /\ X_2 + X_8 - 5 >= 0 /\ X_2 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 + X_6 - 4 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_3 - X_5 - 2 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 4 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_3 - 3 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_2 - 2 >= 0 For symbol eval_heapsort_18: X_8 - 3 >= 0 /\ X_6 + X_8 - 4 >= 0 /\ X_5 + X_8 - 4 >= 0 /\ -X_5 + X_8 - 2 >= 0 /\ X_3 + X_8 - 6 >= 0 /\ -X_3 + X_8 >= 0 /\ X_2 + X_8 - 5 >= 0 /\ X_2 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 + X_6 - 4 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_3 - X_5 - 2 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 4 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_3 - 3 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_2 - 2 >= 0 For symbol eval_heapsort_bb10_in: X_8 - 1 >= 0 /\ X_7 + X_8 - 3 >= 0 /\ X_6 + X_8 - 2 >= 0 /\ X_5 + X_8 - 2 >= 0 /\ -X_5 + X_8 >= 0 /\ X_3 + X_8 - 4 >= 0 /\ X_2 + X_8 - 3 >= 0 /\ X_7 - 2 >= 0 /\ X_6 + X_7 - 3 >= 0 /\ X_5 + X_7 - 3 >= 0 /\ -X_5 + X_7 - 1 >= 0 /\ X_3 + X_7 - 5 >= 0 /\ X_2 + X_7 - 4 >= 0 /\ X_2 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 + X_6 - 4 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_3 - X_5 - 2 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 4 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_3 - 3 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_2 - 2 >= 0 For symbol eval_heapsort_bb11_in: X_5 - 1 >= 0 For symbol eval_heapsort_bb1_in: X_5 - 1 >= 0 For symbol eval_heapsort_bb2_in: X_8 - 1 >= 0 /\ X_5 + X_8 - 2 >= 0 /\ X_5 - 1 >= 0 For symbol eval_heapsort_bb3_in: X_8 - 2 >= 0 /\ X_5 + X_8 - 3 >= 0 /\ -X_5 + X_8 - 1 >= 0 /\ X_3 + X_8 - 5 >= 0 /\ X_2 + X_8 - 4 >= 0 /\ X_3 - X_5 - 2 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 4 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_3 - 3 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_2 - 2 >= 0 For symbol eval_heapsort_bb4_in: X_8 - 2 >= 0 /\ X_5 + X_8 - 3 >= 0 /\ -X_5 + X_8 - 1 >= 0 /\ X_3 + X_8 - 5 >= 0 /\ X_2 + X_8 - 4 >= 0 /\ -X_2 + X_8 >= 0 /\ X_3 - X_5 - 2 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 4 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_3 - 3 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_2 - 2 >= 0 For symbol eval_heapsort_bb5_in: X_8 - 1 >= 0 /\ X_6 + X_8 - 2 >= 0 /\ X_5 + X_8 - 2 >= 0 /\ X_3 + X_8 - 4 >= 0 /\ X_2 + X_8 - 3 >= 0 /\ X_2 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 + X_6 - 4 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_3 - X_5 - 2 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 4 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_3 - 3 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_2 - 2 >= 0 For symbol eval_heapsort_bb6_in: X_8 - 3 >= 0 /\ X_6 + X_8 - 4 >= 0 /\ X_5 + X_8 - 4 >= 0 /\ -X_5 + X_8 - 2 >= 0 /\ X_3 + X_8 - 6 >= 0 /\ -X_3 + X_8 >= 0 /\ X_2 + X_8 - 5 >= 0 /\ X_2 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 + X_6 - 4 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_3 - X_5 - 2 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 4 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_3 - 3 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_2 - 2 >= 0 For symbol eval_heapsort_bb7_in: X_8 - 3 >= 0 /\ X_6 + X_8 - 4 >= 0 /\ X_5 + X_8 - 4 >= 0 /\ -X_5 + X_8 - 2 >= 0 /\ X_3 + X_8 - 6 >= 0 /\ -X_3 + X_8 >= 0 /\ X_2 + X_8 - 5 >= 0 /\ X_2 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 + X_6 - 4 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_3 - X_5 - 2 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 4 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_3 - 3 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_2 - 2 >= 0 For symbol eval_heapsort_bb8_in: X_8 - 1 >= 0 /\ X_7 + X_8 - 2 >= 0 /\ X_6 + X_8 - 2 >= 0 /\ X_5 + X_8 - 2 >= 0 /\ X_3 + X_8 - 4 >= 0 /\ X_2 + X_8 - 3 >= 0 /\ X_7 - 1 >= 0 /\ X_6 + X_7 - 2 >= 0 /\ X_5 + X_7 - 2 >= 0 /\ -X_5 + X_7 >= 0 /\ X_3 + X_7 - 4 >= 0 /\ X_2 + X_7 - 3 >= 0 /\ X_2 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 + X_6 - 4 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_3 - X_5 - 2 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 4 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_3 - 3 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_2 - 2 >= 0 For symbol eval_heapsort_bb9_in: X_8 - 1 >= 0 /\ X_7 + X_8 - 3 >= 0 /\ X_6 + X_8 - 2 >= 0 /\ X_5 + X_8 - 2 >= 0 /\ X_3 + X_8 - 4 >= 0 /\ X_2 + X_8 - 3 >= 0 /\ X_7 - 2 >= 0 /\ X_6 + X_7 - 3 >= 0 /\ X_5 + X_7 - 3 >= 0 /\ -X_5 + X_7 - 1 >= 0 /\ X_3 + X_7 - 5 >= 0 /\ X_2 + X_7 - 4 >= 0 /\ X_2 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 + X_6 - 4 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_3 - X_5 - 2 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 4 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_3 - 3 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_2 - 2 >= 0 This yielded the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] (Comp: 1, Cost: 1) eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 /\ Ar_7 > 0 /\ Ar_4 >= 1 ] (Comp: 1, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 /\ Ar_7 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb3_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_4 - 1 >= 0 /\ 2*Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_4 - 1 >= 0 /\ 2*Ar_4 > Ar_7 ] (Comp: 2, Cost: 1) eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 ] (Comp: 2, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_1 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_1 >= 1 /\ Ar_1 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 < Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 > Ar_6 ] (Comp: 2, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 = Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_15(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 2, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 < 1 ] (Comp: 2, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 >= 1 /\ Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 <= 0 ] (Comp: 2, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 < 1 ] (Comp: 2, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 >= 1 /\ Ar_6 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 <= Ar_7 ] (Comp: 2, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 < 1 ] (Comp: ?, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 >= 1 /\ Ar_2 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: ?, Cost: 1) eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_18(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_2, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 <= 0 ] start location: koat_start leaf cost: 0 Testing for unsatisfiable constraints removes the following transitions from problem 5: eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_1 < 1 ] eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 > Ar_6 ] eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 < 1 ] eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 < 1 ] eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 < 1 ] We thus obtain the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] (Comp: 1, Cost: 1) eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 /\ Ar_7 > 0 /\ Ar_4 >= 1 ] (Comp: 1, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 /\ Ar_7 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb3_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_4 - 1 >= 0 /\ 2*Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_4 - 1 >= 0 /\ 2*Ar_4 > Ar_7 ] (Comp: 2, Cost: 1) eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_1 >= 1 /\ Ar_1 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 < Ar_6 ] (Comp: 2, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 = Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_15(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 2, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 >= 1 /\ Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 <= 0 ] (Comp: 2, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 >= 1 /\ Ar_6 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 >= 1 /\ Ar_2 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: ?, Cost: 1) eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_18(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_2, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 31*V_8 - 83 Pol(eval_heapsort_start) = 31*V_8 - 83 Pol(eval_heapsort_bb0_in) = 31*V_8 - 83 Pol(eval_heapsort_0) = 31*V_8 - 83 Pol(eval_heapsort_1) = 31*V_8 - 83 Pol(eval_heapsort_2) = 31*V_8 - 83 Pol(eval_heapsort_3) = 31*V_8 - 83 Pol(eval_heapsort_4) = 31*V_8 - 83 Pol(eval_heapsort_5) = 31*V_8 - 83 Pol(eval_heapsort_6) = 31*V_8 - 83 Pol(eval_heapsort_7) = 31*V_8 - 83 Pol(eval_heapsort_8) = 31*V_8 - 83 Pol(eval_heapsort_9) = 31*V_8 - 83 Pol(eval_heapsort_bb1_in) = -31*V_5 + 31*V_8 - 52 Pol(eval_heapsort_bb2_in) = -31*V_5 + 31*V_8 - 53 Pol(eval_heapsort_bb11_in) = -31*V_5 + 31*V_8 - 82 Pol(eval_heapsort_bb3_in) = -31*V_5 + 31*V_8 - 54 Pol(eval_heapsort_bb5_in) = -31*V_5 + 31*V_8 - 58 Pol(eval_heapsort_stop) = -31*V_5 + 31*V_8 - 82 Pol(eval_heapsort_bb4_in) = -31*V_5 + 31*V_8 - 55 Pol(eval_heapsort_bb8_in) = -31*V_5 + 31*V_8 - 80 Pol(eval_heapsort_14) = -31*V_5 + 31*V_8 - 56 Pol(eval_heapsort_bb9_in) = -31*V_5 + 31*V_8 - 81 Pol(eval_heapsort_15) = -31*V_5 + 31*V_8 - 57 Pol(eval_heapsort_bb10_in) = -31*V_5 + 31*V_8 - 82 Pol(eval_heapsort_bb6_in) = -31*V_5 + 31*V_8 - 59 Pol(eval_heapsort_bb7_in) = -31*V_5 + 31*V_8 - 60 Pol(eval_heapsort_17) = -31*V_5 + 31*V_8 - 61 Pol(eval_heapsort_18) = -31*V_5 + 31*V_8 - 79 orients all transitions weakly and the transitions eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 >= 1 /\ Ar_2 <= Ar_7 ] eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 <= Ar_7 ] eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_18(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] (Comp: 1, Cost: 1) eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 /\ Ar_7 > 0 /\ Ar_4 >= 1 ] (Comp: 1, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 /\ Ar_7 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb3_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_4 - 1 >= 0 /\ 2*Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_4 - 1 >= 0 /\ 2*Ar_4 > Ar_7 ] (Comp: 2, Cost: 1) eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_1 >= 1 /\ Ar_1 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 < Ar_6 ] (Comp: 2, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 = Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_15(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 2, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 >= 1 /\ Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 <= 0 ] (Comp: 2, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 >= 1 /\ Ar_6 <= Ar_7 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 <= Ar_7 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 >= 1 /\ Ar_2 <= Ar_7 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_18(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_2, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 7 produces the following problem: 8: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] (Comp: 1, Cost: 1) eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 /\ Ar_7 > 0 /\ Ar_4 >= 1 ] (Comp: 1, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 /\ Ar_7 <= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb3_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_4 - 1 >= 0 /\ 2*Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_4 - 1 >= 0 /\ 2*Ar_4 > Ar_7 ] (Comp: 2, Cost: 1) eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_1 >= 1 /\ Ar_1 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 < Ar_6 ] (Comp: 2, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 = Ar_6 ] (Comp: ?, Cost: 1) eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_15(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 2, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 >= 1 /\ Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 > 0 ] (Comp: ?, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 <= 0 ] (Comp: 2, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 > Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 >= 1 /\ Ar_6 <= Ar_7 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 <= Ar_7 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 >= 1 /\ Ar_2 <= Ar_7 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_18(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_2, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 > 0 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 20*V_8 Pol(eval_heapsort_start) = 20*V_8 Pol(eval_heapsort_bb0_in) = 20*V_8 Pol(eval_heapsort_0) = 20*V_8 Pol(eval_heapsort_1) = 20*V_8 Pol(eval_heapsort_2) = 20*V_8 Pol(eval_heapsort_3) = 20*V_8 Pol(eval_heapsort_4) = 20*V_8 Pol(eval_heapsort_5) = 20*V_8 Pol(eval_heapsort_6) = 20*V_8 Pol(eval_heapsort_7) = 20*V_8 Pol(eval_heapsort_8) = 20*V_8 Pol(eval_heapsort_9) = 20*V_8 Pol(eval_heapsort_bb1_in) = -10*V_5 + 20*V_8 Pol(eval_heapsort_bb2_in) = -10*V_5 + 20*V_8 - 1 Pol(eval_heapsort_bb11_in) = -10*V_5 + 20*V_8 - 9 Pol(eval_heapsort_bb3_in) = -10*V_5 + 20*V_8 - 2 Pol(eval_heapsort_bb5_in) = -10*V_5 + 20*V_8 - 6 Pol(eval_heapsort_stop) = -10*V_5 + 20*V_8 - 9 Pol(eval_heapsort_bb4_in) = -10*V_5 + 20*V_8 - 3 Pol(eval_heapsort_bb8_in) = -10*V_5 + 20*V_8 - 7 Pol(eval_heapsort_14) = -10*V_5 + 20*V_8 - 4 Pol(eval_heapsort_bb9_in) = -10*V_5 + 20*V_8 - 8 Pol(eval_heapsort_15) = -10*V_5 + 20*V_8 - 5 Pol(eval_heapsort_bb10_in) = -10*V_5 + 20*V_8 - 9 Pol(eval_heapsort_bb6_in) = -10*V_5 + 20*V_8 - 6 Pol(eval_heapsort_bb7_in) = -10*V_5 + 20*V_8 - 6 Pol(eval_heapsort_17) = -10*V_5 + 20*V_8 - 6 Pol(eval_heapsort_18) = -10*V_5 + 20*V_8 - 6 orients all transitions weakly and the transitions eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 >= 1 /\ Ar_4 <= Ar_7 ] eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_1 >= 1 /\ Ar_1 <= Ar_7 ] eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb3_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_4 - 1 >= 0 /\ 2*Ar_4 <= Ar_7 ] eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 >= 1 /\ Ar_6 <= Ar_7 ] eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 <= 0 ] eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 > 0 ] eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_15(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] strictly and produces the following problem: 9: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] (Comp: 1, Cost: 1) eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7)) (Comp: ?, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 /\ Ar_7 > 0 /\ Ar_4 >= 1 ] (Comp: 1, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 /\ Ar_7 <= 0 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb3_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_4 - 1 >= 0 /\ 2*Ar_4 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_4 - 1 >= 0 /\ 2*Ar_4 > Ar_7 ] (Comp: 2, Cost: 1) eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_1 >= 1 /\ Ar_1 <= Ar_7 ] (Comp: ?, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 > Ar_7 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: ?, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 < Ar_6 ] (Comp: 2, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 = Ar_6 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_15(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 2, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 > Ar_7 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 >= 1 /\ Ar_4 <= Ar_7 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 > 0 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 <= 0 ] (Comp: 2, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 > Ar_7 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 >= 1 /\ Ar_6 <= Ar_7 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 <= Ar_7 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 >= 1 /\ Ar_2 <= Ar_7 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_18(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_2, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 > 0 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 9 produces the following problem: 10: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] (Comp: 1, Cost: 1) eval_heapsort_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) (Comp: 1, Cost: 1) eval_heapsort_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7)) (Comp: 20*Ar_7 + 1, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 /\ Ar_7 > 0 /\ Ar_4 >= 1 ] (Comp: 1, Cost: 1) eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 /\ Ar_7 <= 0 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb3_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_4 - 1 >= 0 /\ 2*Ar_4 <= Ar_7 ] (Comp: 20*Ar_7 + 1, Cost: 1) eval_heapsort_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, 2*Ar_4, 2*Ar_4 + 1, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_4 - 1 >= 0 /\ 2*Ar_4 > Ar_7 ] (Comp: 2, Cost: 1) eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_4 - 1 >= 0 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_1 >= 1 /\ Ar_1 <= Ar_7 ] (Comp: 60*Ar_7 + 1, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 > Ar_7 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 122*Ar_7 + 167, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 < Ar_6 ] (Comp: 2, Cost: 1) eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 2 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 = Ar_6 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_15(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 2, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 > Ar_7 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_bb9_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_4 >= 1 /\ Ar_4 <= Ar_7 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_1, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 > 0 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_4, Ar_6, Ar_7)) [ Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 3 >= 0 /\ -Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 5 >= 0 /\ Ar_1 + Ar_7 - 4 >= 0 /\ -Ar_1 + Ar_7 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_3 <= 0 ] (Comp: 2, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb11_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 > Ar_7 ] (Comp: 20*Ar_7, Cost: 1) eval_heapsort_bb10_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_6 - 2 >= 0 /\ Ar_5 + Ar_6 - 3 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 5 >= 0 /\ Ar_1 + Ar_6 - 4 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_6 >= 1 /\ Ar_6 <= Ar_7 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 2 >= 0 /\ Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 4 >= 0 /\ Ar_1 + Ar_7 - 3 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 <= Ar_7 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_2 >= 1 /\ Ar_2 <= Ar_7 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_18(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_2, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 > 0 ] (Comp: 31*Ar_7 + 83, Cost: 1) eval_heapsort_18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(eval_heapsort_bb8_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_5, Ar_7)) [ Ar_7 - 3 >= 0 /\ Ar_5 + Ar_7 - 4 >= 0 /\ Ar_4 + Ar_7 - 4 >= 0 /\ -Ar_4 + Ar_7 - 2 >= 0 /\ Ar_2 + Ar_7 - 6 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 5 >= 0 /\ Ar_1 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 4 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_2 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_2 - 3 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 568*Ar_7 + 689 Time: 14.065 sec (SMT: 12.723 sec)