Initial Problem

Start: eval_heapsort_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars: nondef_0, nondef_1
Locations: eval_heapsort_0, eval_heapsort_1, eval_heapsort_14, eval_heapsort_15, eval_heapsort_17, eval_heapsort_18, eval_heapsort_2, eval_heapsort_3, eval_heapsort_4, eval_heapsort_5, eval_heapsort_6, eval_heapsort_7, eval_heapsort_8, eval_heapsort_9, eval_heapsort_bb0_in, eval_heapsort_bb10_in, eval_heapsort_bb11_in, eval_heapsort_bb1_in, eval_heapsort_bb2_in, eval_heapsort_bb3_in, eval_heapsort_bb4_in, eval_heapsort_bb5_in, eval_heapsort_bb6_in, eval_heapsort_bb7_in, eval_heapsort_bb8_in, eval_heapsort_bb9_in, eval_heapsort_start, eval_heapsort_stop
Transitions:
t₂: eval_heapsort_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₃: eval_heapsort_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₂₁: eval_heapsort_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_15(X₀, X₁, X₂, nondef_0, X₄, X₅, X₆, X₇)
t₂₂: eval_heapsort_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₁, X₆, X₇) :|: 1 ≤ X₃
t₂₃: eval_heapsort_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₄, X₆, X₇) :|: X₃ ≤ 0
t₃₀: eval_heapsort_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_18(nondef_1, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₃₁: eval_heapsort_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₂, X₇) :|: 1 ≤ X₀
t₃₂: eval_heapsort_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅, X₇) :|: X₀ ≤ 0
t₄: eval_heapsort_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₅: eval_heapsort_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₆: eval_heapsort_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₇: eval_heapsort_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₈: eval_heapsort_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₉: eval_heapsort_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁₀: eval_heapsort_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁₁: eval_heapsort_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb1_in(X₀, X₁, X₂, X₃, 1, X₅, X₆, X₇)
t₁: eval_heapsort_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₃₉: eval_heapsort_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₆ ≤ 0
t₄₀: eval_heapsort_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₇ ≤ X₆
t₄₁: eval_heapsort_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb1_in(X₀, X₁, X₂, X₃, X₆, X₅, X₆, X₇) :|: 1 ≤ X₆ ∧ X₆ ≤ X₇
t₄₂: eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁₃: eval_heapsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₇ ≤ 0
t₁₄: eval_heapsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₄ ≤ 0
t₁₂: eval_heapsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₄ ∧ 1 ≤ X₇
t₁₅: eval_heapsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb3_in(X₀, 2⋅X₄, 1+2⋅X₄, X₃, X₄, X₅, X₆, X₇) :|: 2⋅X₄ ≤ X₇
t₁₆: eval_heapsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb5_in(X₀, 2⋅X₄, 1+2⋅X₄, X₃, X₄, X₄, X₆, X₇) :|: 1+X₇ ≤ 2⋅X₄
t₁₇: eval_heapsort_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁ ≤ 0
t₁₈: eval_heapsort_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₇ ≤ X₁
t₁₉: eval_heapsort_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₁ ∧ X₁ ≤ X₇
t₂₀: eval_heapsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₂₄: eval_heapsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ X₇
t₂₅: eval_heapsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅, X₇) :|: 1+X₇ ≤ X₂
t₂₆: eval_heapsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ 0
t₂₇: eval_heapsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₇ ≤ X₂
t₂₈: eval_heapsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₂ ∧ X₂ ≤ X₇
t₂₉: eval_heapsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₃₅: eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₆ ≤ X₄ ∧ X₄ ≤ X₆
t₃₃: eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ X₆
t₃₄: eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ X₄
t₃₈: eval_heapsort_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₄ ∧ X₄ ≤ X₇
t₃₆: eval_heapsort_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₄ ≤ 0
t₃₇: eval_heapsort_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₇ ≤ X₄
t₀: eval_heapsort_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)

Preprocessing

Cut unsatisfiable transition [t₁₄: eval_heapsort_bb1_in→eval_heapsort_bb11_in; t₁₈: eval_heapsort_bb3_in→eval_heapsort_bb11_in; t₂₇: eval_heapsort_bb6_in→eval_heapsort_bb11_in]

Found invariant 1 ≤ X₇ ∧ 2 ≤ X₄+X₇ ∧ 1 ≤ X₄ for location eval_heapsort_bb2_in

Found invariant 1 ≤ X₄ for location eval_heapsort_stop

Found invariant 1 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 4 ≤ X₂+X₇ ∧ 3 ≤ X₁+X₇ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 3 ≤ X₁+X₅ ∧ 2+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_heapsort_bb5_in

Found invariant 2 ≤ X₇ ∧ 3 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 5 ≤ X₂+X₇ ∧ 4 ≤ X₁+X₇ ∧ 2+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_heapsort_bb3_in

Found invariant 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 4 ≤ X₂+X₇ ∧ 3 ≤ X₁+X₇ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 4 ≤ X₂+X₆ ∧ 3 ≤ X₁+X₆ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 3 ≤ X₁+X₅ ∧ 2+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_heapsort_bb8_in

Found invariant 1 ≤ X₄ for location eval_heapsort_bb1_in

Found invariant 3 ≤ X₇ ∧ 4 ≤ X₅+X₇ ∧ 4 ≤ X₄+X₇ ∧ 2+X₄ ≤ X₇ ∧ 6 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 5 ≤ X₁+X₇ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 3 ≤ X₁+X₅ ∧ 2+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_heapsort_bb7_in

Found invariant 3 ≤ X₇ ∧ 4 ≤ X₅+X₇ ∧ 4 ≤ X₄+X₇ ∧ 2+X₄ ≤ X₇ ∧ 6 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 5 ≤ X₁+X₇ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 3 ≤ X₁+X₅ ∧ 2+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_heapsort_17

Found invariant 3 ≤ X₇ ∧ 4 ≤ X₅+X₇ ∧ 4 ≤ X₄+X₇ ∧ 2+X₄ ≤ X₇ ∧ 6 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 5 ≤ X₁+X₇ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 3 ≤ X₁+X₅ ∧ 2+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_heapsort_18

Found invariant 2 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 5 ≤ X₂+X₆ ∧ 4 ≤ X₁+X₆ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 3 ≤ X₁+X₅ ∧ 2+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_heapsort_bb9_in

Found invariant 2 ≤ X₇ ∧ 3 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 5 ≤ X₂+X₇ ∧ 4 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 2+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_heapsort_15

Found invariant 2 ≤ X₇ ∧ 3 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 5 ≤ X₂+X₇ ∧ 4 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 2+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_heapsort_bb4_in

Found invariant 1 ≤ X₄ for location eval_heapsort_bb11_in

Found invariant 2 ≤ X₇ ∧ 3 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 5 ≤ X₂+X₇ ∧ 4 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 2+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_heapsort_14

Found invariant 1 ≤ X₇ ∧ 3 ≤ X₆+X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 4 ≤ X₂+X₇ ∧ 3 ≤ X₁+X₇ ∧ 2 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 5 ≤ X₂+X₆ ∧ 4 ≤ X₁+X₆ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 3 ≤ X₁+X₅ ∧ 2+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_heapsort_bb10_in

Found invariant 3 ≤ X₇ ∧ 4 ≤ X₅+X₇ ∧ 4 ≤ X₄+X₇ ∧ 2+X₄ ≤ X₇ ∧ 6 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 5 ≤ X₁+X₇ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 3 ≤ X₁+X₅ ∧ 2+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_heapsort_bb6_in

Cut unsatisfiable transition [t₁₇: eval_heapsort_bb3_in→eval_heapsort_bb11_in; t₂₆: eval_heapsort_bb6_in→eval_heapsort_bb11_in; t₃₄: eval_heapsort_bb8_in→eval_heapsort_bb9_in; t₃₆: eval_heapsort_bb9_in→eval_heapsort_bb11_in; t₃₉: eval_heapsort_bb10_in→eval_heapsort_bb11_in]

Problem after Preprocessing

Start: eval_heapsort_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars: nondef_0, nondef_1
Locations: eval_heapsort_0, eval_heapsort_1, eval_heapsort_14, eval_heapsort_15, eval_heapsort_17, eval_heapsort_18, eval_heapsort_2, eval_heapsort_3, eval_heapsort_4, eval_heapsort_5, eval_heapsort_6, eval_heapsort_7, eval_heapsort_8, eval_heapsort_9, eval_heapsort_bb0_in, eval_heapsort_bb10_in, eval_heapsort_bb11_in, eval_heapsort_bb1_in, eval_heapsort_bb2_in, eval_heapsort_bb3_in, eval_heapsort_bb4_in, eval_heapsort_bb5_in, eval_heapsort_bb6_in, eval_heapsort_bb7_in, eval_heapsort_bb8_in, eval_heapsort_bb9_in, eval_heapsort_start, eval_heapsort_stop
Transitions:
t₂: eval_heapsort_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₃: eval_heapsort_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₂₁: eval_heapsort_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_15(X₀, X₁, X₂, nondef_0, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₇ ∧ 4 ≤ X₁+X₇ ∧ 4 ≤ X₂+X₄ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₇ ∧ X₁ ≤ X₇
t₂₂: eval_heapsort_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₁, X₆, X₇) :|: 1 ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₇ ∧ 4 ≤ X₁+X₇ ∧ 4 ≤ X₂+X₄ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₇ ∧ X₁ ≤ X₇
t₂₃: eval_heapsort_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₄, X₆, X₇) :|: X₃ ≤ 0 ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₇ ∧ 4 ≤ X₁+X₇ ∧ 4 ≤ X₂+X₄ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₇ ∧ X₁ ≤ X₇
t₃₀: eval_heapsort_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_18(nondef_1, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂ ∧ 3 ≤ X₇ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₄+X₇ ∧ 4 ≤ X₅+X₇ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₇ ∧ 6 ≤ X₂+X₇ ∧ X₅ ≤ X₁ ∧ X₂ ≤ X₇ ∧ X₄ ≤ X₅
t₃₁: eval_heapsort_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₂, X₇) :|: 1 ≤ X₀ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂ ∧ 3 ≤ X₇ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₄+X₇ ∧ 4 ≤ X₅+X₇ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₇ ∧ 6 ≤ X₂+X₇ ∧ X₅ ≤ X₁ ∧ X₂ ≤ X₇ ∧ X₄ ≤ X₅
t₃₂: eval_heapsort_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅, X₇) :|: X₀ ≤ 0 ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂ ∧ 3 ≤ X₇ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₄+X₇ ∧ 4 ≤ X₅+X₇ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₇ ∧ 6 ≤ X₂+X₇ ∧ X₅ ≤ X₁ ∧ X₂ ≤ X₇ ∧ X₄ ≤ X₅
t₄: eval_heapsort_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₅: eval_heapsort_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₆: eval_heapsort_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₇: eval_heapsort_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₈: eval_heapsort_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₉: eval_heapsort_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁₀: eval_heapsort_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁₁: eval_heapsort_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb1_in(X₀, X₁, X₂, X₃, 1, X₅, X₆, X₇)
t₁: eval_heapsort_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₄₀: eval_heapsort_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₇ ≤ X₆ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₆ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₁+X₇ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₅+X₆ ∧ 3 ≤ X₆+X₇ ∧ 4 ≤ X₁+X₆ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₂+X₇ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₆ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₇
t₄₁: eval_heapsort_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb1_in(X₀, X₁, X₂, X₃, X₆, X₅, X₆, X₇) :|: 1 ≤ X₆ ∧ X₆ ≤ X₇ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₆ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₁+X₇ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₅+X₆ ∧ 3 ≤ X₆+X₇ ∧ 4 ≤ X₁+X₆ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₂+X₇ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₆ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₇
t₄₂: eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₄
t₁₃: eval_heapsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₇ ≤ 0 ∧ 1 ≤ X₄
t₁₂: eval_heapsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₄ ∧ 1 ≤ X₇
t₁₅: eval_heapsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb3_in(X₀, 2⋅X₄, 1+2⋅X₄, X₃, X₄, X₅, X₆, X₇) :|: 2⋅X₄ ≤ X₇ ∧ 1 ≤ X₄ ∧ 1 ≤ X₇ ∧ 2 ≤ X₄+X₇
t₁₆: eval_heapsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb5_in(X₀, 2⋅X₄, 1+2⋅X₄, X₃, X₄, X₄, X₆, X₇) :|: 1+X₇ ≤ 2⋅X₄ ∧ 1 ≤ X₄ ∧ 1 ≤ X₇ ∧ 2 ≤ X₄+X₇
t₁₉: eval_heapsort_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₁ ∧ X₁ ≤ X₇ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₇ ∧ 4 ≤ X₁+X₇ ∧ 4 ≤ X₂+X₄ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₇
t₂₀: eval_heapsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₇ ∧ 4 ≤ X₁+X₇ ∧ 4 ≤ X₂+X₄ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₇ ∧ X₁ ≤ X₇
t₂₄: eval_heapsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ X₇ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₅+X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₁+X₇ ∧ 3 ≤ X₂ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₂+X₇ ∧ 5 ≤ X₁+X₂ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅
t₂₅: eval_heapsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅, X₇) :|: 1+X₇ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₅+X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₁+X₇ ∧ 3 ≤ X₂ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₂+X₇ ∧ 5 ≤ X₁+X₂ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅
t₂₈: eval_heapsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₂ ∧ X₂ ≤ X₇ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂ ∧ 3 ≤ X₇ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₄+X₇ ∧ 4 ≤ X₅+X₇ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₇ ∧ 6 ≤ X₂+X₇ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅
t₂₉: eval_heapsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂ ∧ 3 ≤ X₇ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₄+X₇ ∧ 4 ≤ X₅+X₇ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₇ ∧ 6 ≤ X₂+X₇ ∧ X₅ ≤ X₁ ∧ X₂ ≤ X₇ ∧ X₄ ≤ X₅
t₃₅: eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₆ ≤ X₄ ∧ X₄ ≤ X₆ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₆+X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₁+X₇ ∧ 3 ≤ X₂ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₂+X₆ ∧ 4 ≤ X₂+X₇ ∧ 5 ≤ X₁+X₂ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅
t₃₃: eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ X₆ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₆+X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₁+X₇ ∧ 3 ≤ X₂ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₂+X₆ ∧ 4 ≤ X₂+X₇ ∧ 5 ≤ X₁+X₂ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆
t₃₈: eval_heapsort_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₄ ∧ X₄ ≤ X₇ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₆ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₅+X₆ ∧ 4 ≤ X₁+X₆ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₆ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅
t₃₇: eval_heapsort_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₇ ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₆ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₅+X₆ ∧ 4 ≤ X₁+X₆ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₆ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅
t₀: eval_heapsort_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)

MPRF for transition t₁₅: eval_heapsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb3_in(X₀, 2⋅X₄, 1+2⋅X₄, X₃, X₄, X₅, X₆, X₇) :|: 2⋅X₄ ≤ X₇ ∧ 1 ≤ X₄ ∧ 1 ≤ X₇ ∧ 2 ≤ X₄+X₇ of depth 1:

new bound:

2⋅X₇+2 {O(n)}

• eval_heapsort_14: [2⋅X₇-2-X₄]
• eval_heapsort_15: [2⋅X₇-2-X₄]
• eval_heapsort_17: [2⋅X₇-2-X₄]
• eval_heapsort_18: [2⋅X₇-2-X₄]
• eval_heapsort_bb10_in: [2⋅X₇-2-X₄]
• eval_heapsort_bb1_in: [2⋅X₇-1-X₄]
• eval_heapsort_bb2_in: [2⋅X₇-1-X₄]
• eval_heapsort_bb3_in: [2⋅X₇-2-X₄]
• eval_heapsort_bb4_in: [2⋅X₇-2-X₄]
• eval_heapsort_bb5_in: [2⋅X₇-2-X₄]
• eval_heapsort_bb6_in: [2⋅X₇-2-X₄]
• eval_heapsort_bb7_in: [2⋅X₇-2-X₄]
• eval_heapsort_bb8_in: [2⋅X₇-2-X₄]
• eval_heapsort_bb9_in: [2⋅X₇-2-X₄]

MPRF for transition t₁₉: eval_heapsort_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₁ ∧ X₁ ≤ X₇ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₇ ∧ 4 ≤ X₁+X₇ ∧ 4 ≤ X₂+X₄ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₇ of depth 1:

new bound:

X₇+1 {O(n)}

• eval_heapsort_14: [X₇-1-X₄]
• eval_heapsort_15: [X₇-1-X₄]
• eval_heapsort_17: [X₇-1-X₄]
• eval_heapsort_18: [X₇-1-X₄]
• eval_heapsort_bb10_in: [X₇-1-X₄]
• eval_heapsort_bb1_in: [X₇-X₄]
• eval_heapsort_bb2_in: [X₇-X₄]
• eval_heapsort_bb3_in: [X₇-X₄]
• eval_heapsort_bb4_in: [X₇-1-X₄]
• eval_heapsort_bb5_in: [X₇-1-X₄]
• eval_heapsort_bb6_in: [X₇-1-X₄]
• eval_heapsort_bb7_in: [X₇-1-X₄]
• eval_heapsort_bb8_in: [X₇-1-X₄]
• eval_heapsort_bb9_in: [X₇-1-X₄]

MPRF for transition t₂₀: eval_heapsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₇ ∧ 4 ≤ X₁+X₇ ∧ 4 ≤ X₂+X₄ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₇ ∧ X₁ ≤ X₇ of depth 1:

new bound:

X₇+1 {O(n)}

• eval_heapsort_14: [X₇-1-X₄]
• eval_heapsort_15: [X₇-1-X₄]
• eval_heapsort_17: [X₇-1-X₄]
• eval_heapsort_18: [X₇-1-X₄]
• eval_heapsort_bb10_in: [X₇-1-X₄]
• eval_heapsort_bb1_in: [X₇-X₄]
• eval_heapsort_bb2_in: [X₇-X₄]
• eval_heapsort_bb3_in: [X₇-X₄]
• eval_heapsort_bb4_in: [X₇-X₄]
• eval_heapsort_bb5_in: [X₇-1-X₄]
• eval_heapsort_bb6_in: [X₇-1-X₄]
• eval_heapsort_bb7_in: [X₇-1-X₄]
• eval_heapsort_bb8_in: [X₇-1-X₄]
• eval_heapsort_bb9_in: [X₇-1-X₄]

MPRF for transition t₂₁: eval_heapsort_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_15(X₀, X₁, X₂, nondef_0, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₇ ∧ 4 ≤ X₁+X₇ ∧ 4 ≤ X₂+X₄ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₇ ∧ X₁ ≤ X₇ of depth 1:

new bound:

X₇+1 {O(n)}

• eval_heapsort_14: [X₇-X₄]
• eval_heapsort_15: [X₇-1-X₄]
• eval_heapsort_17: [X₇-1-X₄]
• eval_heapsort_18: [X₇-1-X₄]
• eval_heapsort_bb10_in: [X₇-1-X₄]
• eval_heapsort_bb1_in: [X₇-X₄]
• eval_heapsort_bb2_in: [X₇-X₄]
• eval_heapsort_bb3_in: [X₇-X₄]
• eval_heapsort_bb4_in: [X₇-X₄]
• eval_heapsort_bb5_in: [X₇-1-X₄]
• eval_heapsort_bb6_in: [X₇-1-X₄]
• eval_heapsort_bb7_in: [X₇-1-X₄]
• eval_heapsort_bb8_in: [X₇-1-X₄]
• eval_heapsort_bb9_in: [X₇-1-X₄]

MPRF for transition t₂₂: eval_heapsort_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₁, X₆, X₇) :|: 1 ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₇ ∧ 4 ≤ X₁+X₇ ∧ 4 ≤ X₂+X₄ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₇ ∧ X₁ ≤ X₇ of depth 1:

new bound:

X₇+1 {O(n)}

• eval_heapsort_14: [X₇-X₄]
• eval_heapsort_15: [X₇-X₄]
• eval_heapsort_17: [X₇-1-X₄]
• eval_heapsort_18: [X₇-1-X₄]
• eval_heapsort_bb10_in: [X₇-X₆]
• eval_heapsort_bb1_in: [X₇-X₄]
• eval_heapsort_bb2_in: [X₇-X₄]
• eval_heapsort_bb3_in: [X₇-X₄]
• eval_heapsort_bb4_in: [X₇-X₄]
• eval_heapsort_bb5_in: [X₇-1-X₄]
• eval_heapsort_bb6_in: [X₇-1-X₄]
• eval_heapsort_bb7_in: [X₇-1-X₄]
• eval_heapsort_bb8_in: [X₇-1-X₄]
• eval_heapsort_bb9_in: [X₇-1-X₄]

MPRF for transition t₂₃: eval_heapsort_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₄, X₆, X₇) :|: X₃ ≤ 0 ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₇ ∧ 4 ≤ X₁+X₇ ∧ 4 ≤ X₂+X₄ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₇ ∧ X₁ ≤ X₇ of depth 1:

new bound:

X₇+1 {O(n)}

• eval_heapsort_14: [X₇-X₄]
• eval_heapsort_15: [X₇-X₄]
• eval_heapsort_17: [X₇-1-X₄]
• eval_heapsort_18: [X₇-1-X₄]
• eval_heapsort_bb10_in: [X₇-1-X₄]
• eval_heapsort_bb1_in: [X₇-X₄]
• eval_heapsort_bb2_in: [X₇-X₄]
• eval_heapsort_bb3_in: [X₇-X₄]
• eval_heapsort_bb4_in: [X₇-X₄]
• eval_heapsort_bb5_in: [X₇-1-X₄]
• eval_heapsort_bb6_in: [X₇-1-X₄]
• eval_heapsort_bb7_in: [X₇-1-X₄]
• eval_heapsort_bb8_in: [X₇-1-X₄]
• eval_heapsort_bb9_in: [X₇-1-X₄]

MPRF for transition t₂₄: eval_heapsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ X₇ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₅+X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₁+X₇ ∧ 3 ≤ X₂ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₂+X₇ ∧ 5 ≤ X₁+X₂ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅ of depth 1:

new bound:

X₇+2 {O(n)}

• eval_heapsort_14: [X₇-1-X₄]
• eval_heapsort_15: [X₇-1-X₄]
• eval_heapsort_17: [X₇-2-X₄]
• eval_heapsort_18: [X₇-2-X₄]
• eval_heapsort_bb10_in: [X₇-1-X₆]
• eval_heapsort_bb1_in: [X₇-1-X₄]
• eval_heapsort_bb2_in: [X₇-1-X₄]
• eval_heapsort_bb3_in: [X₇-1-X₄]
• eval_heapsort_bb4_in: [X₇-1-X₄]
• eval_heapsort_bb5_in: [X₇-1-X₄]
• eval_heapsort_bb6_in: [X₇-2-X₄]
• eval_heapsort_bb7_in: [X₇-2-X₄]
• eval_heapsort_bb8_in: [X₇-2-X₄]
• eval_heapsort_bb9_in: [X₇-1-X₆]

MPRF for transition t₂₈: eval_heapsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₂ ∧ X₂ ≤ X₇ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂ ∧ 3 ≤ X₇ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₄+X₇ ∧ 4 ≤ X₅+X₇ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₇ ∧ 6 ≤ X₂+X₇ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅ of depth 1:

new bound:

X₇+2 {O(n)}

• eval_heapsort_14: [X₇-1-X₄]
• eval_heapsort_15: [X₇-1-X₄]
• eval_heapsort_17: [X₇-2-X₄]
• eval_heapsort_18: [X₇-2-X₄]
• eval_heapsort_bb10_in: [X₇-1-X₆]
• eval_heapsort_bb1_in: [X₇-1-X₄]
• eval_heapsort_bb2_in: [X₇-1-X₄]
• eval_heapsort_bb3_in: [X₇-1-X₄]
• eval_heapsort_bb4_in: [X₇-1-X₄]
• eval_heapsort_bb5_in: [X₇-1-X₄]
• eval_heapsort_bb6_in: [X₇-1-X₄]
• eval_heapsort_bb7_in: [X₇-2-X₄]
• eval_heapsort_bb8_in: [X₇-2-X₄]
• eval_heapsort_bb9_in: [X₇-2-X₄]

MPRF for transition t₂₉: eval_heapsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂ ∧ 3 ≤ X₇ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₄+X₇ ∧ 4 ≤ X₅+X₇ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₇ ∧ 6 ≤ X₂+X₇ ∧ X₅ ≤ X₁ ∧ X₂ ≤ X₇ ∧ X₄ ≤ X₅ of depth 1:

new bound:

X₇+2 {O(n)}

• eval_heapsort_14: [X₇-1-X₄]
• eval_heapsort_15: [X₇-1-X₄]
• eval_heapsort_17: [X₇-2-X₄]
• eval_heapsort_18: [X₇-2-X₄]
• eval_heapsort_bb10_in: [X₇-2-X₄]
• eval_heapsort_bb1_in: [X₇-1-X₄]
• eval_heapsort_bb2_in: [X₇-1-X₄]
• eval_heapsort_bb3_in: [X₇-1-X₄]
• eval_heapsort_bb4_in: [X₇-1-X₄]
• eval_heapsort_bb5_in: [X₇-1-X₄]
• eval_heapsort_bb6_in: [X₇-1-X₄]
• eval_heapsort_bb7_in: [X₇-1-X₄]
• eval_heapsort_bb8_in: [X₇-2-X₄]
• eval_heapsort_bb9_in: [X₇-2-X₄]

MPRF for transition t₃₀: eval_heapsort_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_18(nondef_1, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂ ∧ 3 ≤ X₇ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₄+X₇ ∧ 4 ≤ X₅+X₇ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₇ ∧ 6 ≤ X₂+X₇ ∧ X₅ ≤ X₁ ∧ X₂ ≤ X₇ ∧ X₄ ≤ X₅ of depth 1:

new bound:

X₇+2 {O(n)}

• eval_heapsort_14: [X₇-1-X₄]
• eval_heapsort_15: [X₇-1-X₄]
• eval_heapsort_17: [X₇-1-X₄]
• eval_heapsort_18: [X₇-2-X₄]
• eval_heapsort_bb10_in: [X₇-2-X₄]
• eval_heapsort_bb1_in: [X₇-1-X₄]
• eval_heapsort_bb2_in: [X₇-1-X₄]
• eval_heapsort_bb3_in: [X₇-1-X₄]
• eval_heapsort_bb4_in: [X₇-1-X₄]
• eval_heapsort_bb5_in: [X₇-1-X₄]
• eval_heapsort_bb6_in: [X₇-1-X₄]
• eval_heapsort_bb7_in: [X₇-1-X₄]
• eval_heapsort_bb8_in: [X₇-2-X₄]
• eval_heapsort_bb9_in: [X₇-2-X₄]

MPRF for transition t₃₁: eval_heapsort_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₂, X₇) :|: 1 ≤ X₀ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂ ∧ 3 ≤ X₇ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₄+X₇ ∧ 4 ≤ X₅+X₇ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₇ ∧ 6 ≤ X₂+X₇ ∧ X₅ ≤ X₁ ∧ X₂ ≤ X₇ ∧ X₄ ≤ X₅ of depth 1:

new bound:

X₇+2 {O(n)}

• eval_heapsort_14: [X₇-1-X₄]
• eval_heapsort_15: [X₇-1-X₄]
• eval_heapsort_17: [X₇-1-X₄]
• eval_heapsort_18: [X₇-1-X₄]
• eval_heapsort_bb10_in: [X₇-1-X₆]
• eval_heapsort_bb1_in: [X₇-1-X₄]
• eval_heapsort_bb2_in: [X₇-1-X₄]
• eval_heapsort_bb3_in: [X₇-1-X₄]
• eval_heapsort_bb4_in: [X₇-1-X₄]
• eval_heapsort_bb5_in: [X₇-1-X₄]
• eval_heapsort_bb6_in: [X₇-1-X₄]
• eval_heapsort_bb7_in: [X₇-1-X₄]
• eval_heapsort_bb8_in: [X₇-1-X₆]
• eval_heapsort_bb9_in: [X₇-1-X₆]

MPRF for transition t₃₂: eval_heapsort_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅, X₇) :|: X₀ ≤ 0 ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂ ∧ 3 ≤ X₇ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₄+X₇ ∧ 4 ≤ X₅+X₇ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₇ ∧ 6 ≤ X₂+X₇ ∧ X₅ ≤ X₁ ∧ X₂ ≤ X₇ ∧ X₄ ≤ X₅ of depth 1:

new bound:

X₇+2 {O(n)}

• eval_heapsort_14: [X₇-1-X₄]
• eval_heapsort_15: [X₇-1-X₄]
• eval_heapsort_17: [X₇-1-X₄]
• eval_heapsort_18: [X₇-1-X₄]
• eval_heapsort_bb10_in: [X₇-2-X₄]
• eval_heapsort_bb1_in: [X₇-1-X₄]
• eval_heapsort_bb2_in: [X₇-1-X₄]
• eval_heapsort_bb3_in: [X₇-1-X₄]
• eval_heapsort_bb4_in: [X₇-1-X₄]
• eval_heapsort_bb5_in: [X₇-1-X₄]
• eval_heapsort_bb6_in: [X₇-1-X₄]
• eval_heapsort_bb7_in: [X₇-1-X₄]
• eval_heapsort_bb8_in: [X₇-2-X₄]
• eval_heapsort_bb9_in: [X₇-2-X₄]

MPRF for transition t₃₈: eval_heapsort_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₄ ∧ X₄ ≤ X₇ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₆ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₅+X₆ ∧ 4 ≤ X₁+X₆ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₆ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅ of depth 1:

new bound:

X₇+2 {O(n)}

• eval_heapsort_14: [1+X₇-X₄]
• eval_heapsort_15: [1+X₇-X₄]
• eval_heapsort_17: [1+X₇-X₄]
• eval_heapsort_18: [1+X₇-X₄]
• eval_heapsort_bb10_in: [X₇-X₄]
• eval_heapsort_bb1_in: [1+X₇-X₄]
• eval_heapsort_bb2_in: [1+X₇-X₄]
• eval_heapsort_bb3_in: [1+X₇-X₄]
• eval_heapsort_bb4_in: [1+X₇-X₄]
• eval_heapsort_bb5_in: [1+X₇-X₄]
• eval_heapsort_bb6_in: [1+X₇-X₄]
• eval_heapsort_bb7_in: [1+X₇-X₄]
• eval_heapsort_bb8_in: [1+X₇-X₄]
• eval_heapsort_bb9_in: [1+X₇-X₄]

MPRF for transition t₄₁: eval_heapsort_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb1_in(X₀, X₁, X₂, X₃, X₆, X₅, X₆, X₇) :|: 1 ≤ X₆ ∧ X₆ ≤ X₇ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₆ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₁+X₇ ∧ 3 ≤ X₂ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₅+X₆ ∧ 3 ≤ X₆+X₇ ∧ 4 ≤ X₁+X₆ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₂+X₇ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₂+X₆ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₇ of depth 1:

new bound:

X₇+2 {O(n)}

• eval_heapsort_14: [1+X₇-X₄]
• eval_heapsort_15: [1+X₇-X₄]
• eval_heapsort_17: [1+X₇-X₄]
• eval_heapsort_18: [1+X₇-X₄]
• eval_heapsort_bb10_in: [1+X₇-X₄]
• eval_heapsort_bb1_in: [1+X₇-X₄]
• eval_heapsort_bb2_in: [1+X₇-X₄]
• eval_heapsort_bb3_in: [1+X₇-X₄]
• eval_heapsort_bb4_in: [1+X₇-X₄]
• eval_heapsort_bb5_in: [1+X₇-X₄]
• eval_heapsort_bb6_in: [1+X₇-X₄]
• eval_heapsort_bb7_in: [1+X₇-X₄]
• eval_heapsort_bb8_in: [1+X₇-X₄]
• eval_heapsort_bb9_in: [1+X₇-X₄]

knowledge_propagation leads to new time bound X₇+3 {O(n)} for transition t₁₂: eval_heapsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₄ ∧ 1 ≤ X₇

knowledge_propagation leads to new time bound X₇+3 {O(n)} for transition t₁₆: eval_heapsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb5_in(X₀, 2⋅X₄, 1+2⋅X₄, X₃, X₄, X₄, X₆, X₇) :|: 1+X₇ ≤ 2⋅X₄ ∧ 1 ≤ X₄ ∧ 1 ≤ X₇ ∧ 2 ≤ X₄+X₇

knowledge_propagation leads to new time bound 3⋅X₇+5 {O(n)} for transition t₂₅: eval_heapsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅, X₇) :|: 1+X₇ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₅+X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₁+X₇ ∧ 3 ≤ X₂ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₂+X₇ ∧ 5 ≤ X₁+X₂ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅

knowledge_propagation leads to new time bound 5⋅X₇+9 {O(n)} for transition t₃₃: eval_heapsort_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_heapsort_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ X₆ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁ ∧ 2+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₆+X₇ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₁+X₇ ∧ 3 ≤ X₂ ∧ 4 ≤ X₂+X₄ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₂+X₆ ∧ 4 ≤ X₂+X₇ ∧ 5 ≤ X₁+X₂ ∧ X₅ ≤ X₁ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆

All Bounds

Timebounds

Overall timebound:25⋅X₇+60 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₂: X₇+3 {O(n)}
t₁₃: 1 {O(1)}
t₁₅: 2⋅X₇+2 {O(n)}
t₁₆: X₇+3 {O(n)}
t₁₉: X₇+1 {O(n)}
t₂₀: X₇+1 {O(n)}
t₂₁: X₇+1 {O(n)}
t₂₂: X₇+1 {O(n)}
t₂₃: X₇+1 {O(n)}
t₂₄: X₇+2 {O(n)}
t₂₅: 3⋅X₇+5 {O(n)}
t₂₈: X₇+2 {O(n)}
t₂₉: X₇+2 {O(n)}
t₃₀: X₇+2 {O(n)}
t₃₁: X₇+2 {O(n)}
t₃₂: X₇+2 {O(n)}
t₃₃: 5⋅X₇+9 {O(n)}
t₃₅: 1 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: X₇+2 {O(n)}
t₄₀: 1 {O(1)}
t₄₁: X₇+2 {O(n)}
t₄₂: 1 {O(1)}

Costbounds

Overall costbound: 25⋅X₇+60 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₂: X₇+3 {O(n)}
t₁₃: 1 {O(1)}
t₁₅: 2⋅X₇+2 {O(n)}
t₁₆: X₇+3 {O(n)}
t₁₉: X₇+1 {O(n)}
t₂₀: X₇+1 {O(n)}
t₂₁: X₇+1 {O(n)}
t₂₂: X₇+1 {O(n)}
t₂₃: X₇+1 {O(n)}
t₂₄: X₇+2 {O(n)}
t₂₅: 3⋅X₇+5 {O(n)}
t₂₈: X₇+2 {O(n)}
t₂₉: X₇+2 {O(n)}
t₃₀: X₇+2 {O(n)}
t₃₁: X₇+2 {O(n)}
t₃₂: X₇+2 {O(n)}
t₃₃: 5⋅X₇+9 {O(n)}
t₃₅: 1 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: X₇+2 {O(n)}
t₄₀: 1 {O(1)}
t₄₁: X₇+2 {O(n)}
t₄₂: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₆ {O(n)}
t₀, X₇: X₇ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₇ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₂, X₇: X₇ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₃, X₆: X₆ {O(n)}
t₃, X₇: X₇ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₆ {O(n)}
t₄, X₇: X₇ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: X₅ {O(n)}
t₅, X₆: X₆ {O(n)}
t₅, X₇: X₇ {O(n)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₅ {O(n)}
t₆, X₆: X₆ {O(n)}
t₆, X₇: X₇ {O(n)}
t₇, X₀: X₀ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₅ {O(n)}
t₇, X₆: X₆ {O(n)}
t₇, X₇: X₇ {O(n)}
t₈, X₀: X₀ {O(n)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: X₃ {O(n)}
t₈, X₄: X₄ {O(n)}
t₈, X₅: X₅ {O(n)}
t₈, X₆: X₆ {O(n)}
t₈, X₇: X₇ {O(n)}
t₉, X₀: X₀ {O(n)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: X₃ {O(n)}
t₉, X₄: X₄ {O(n)}
t₉, X₅: X₅ {O(n)}
t₉, X₆: X₆ {O(n)}
t₉, X₇: X₇ {O(n)}
t₁₀, X₀: X₀ {O(n)}
t₁₀, X₁: X₁ {O(n)}
t₁₀, X₂: X₂ {O(n)}
t₁₀, X₃: X₃ {O(n)}
t₁₀, X₄: X₄ {O(n)}
t₁₀, X₅: X₅ {O(n)}
t₁₀, X₆: X₆ {O(n)}
t₁₀, X₇: X₇ {O(n)}
t₁₁, X₀: X₀ {O(n)}
t₁₁, X₁: X₁ {O(n)}
t₁₁, X₂: X₂ {O(n)}
t₁₁, X₃: X₃ {O(n)}
t₁₁, X₄: 1 {O(1)}
t₁₁, X₅: X₅ {O(n)}
t₁₁, X₆: X₆ {O(n)}
t₁₁, X₇: X₇ {O(n)}
t₁₂, X₁: 2^(2⋅X₇)⋅64⋅X₇+2^(2⋅X₇)⋅96+X₁ {O(EXP)}
t₁₂, X₂: 16⋅2^(2⋅X₇)⋅X₇+2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅72+X₂+2 {O(EXP)}
t₁₂, X₄: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₁₂, X₅: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅48+X₅ {O(EXP)}
t₁₂, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇+X₆ {O(EXP)}
t₁₂, X₇: X₇ {O(n)}
t₁₃, X₀: X₀ {O(n)}
t₁₃, X₁: X₁ {O(n)}
t₁₃, X₂: X₂ {O(n)}
t₁₃, X₃: X₃ {O(n)}
t₁₃, X₄: 1 {O(1)}
t₁₃, X₅: X₅ {O(n)}
t₁₃, X₆: X₆ {O(n)}
t₁₃, X₇: X₇ {O(n)}
t₁₅, X₁: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₁₅, X₂: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₁₅, X₄: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₁₅, X₅: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅60+2^(2⋅X₇)⋅8⋅X₇+X₅ {O(EXP)}
t₁₅, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇+X₆ {O(EXP)}
t₁₅, X₇: X₇ {O(n)}
t₁₆, X₁: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₁₆, X₂: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇)+2 {O(EXP)}
t₁₆, X₄: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₁₆, X₅: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₁₆, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇+X₆ {O(EXP)}
t₁₆, X₇: X₇ {O(n)}
t₁₉, X₁: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₁₉, X₂: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₁₉, X₄: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₁₉, X₅: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅60+2^(2⋅X₇)⋅8⋅X₇+X₅ {O(EXP)}
t₁₉, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇+X₆ {O(EXP)}
t₁₉, X₇: X₇ {O(n)}
t₂₀, X₁: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₀, X₂: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₀, X₄: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₀, X₅: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅60+2^(2⋅X₇)⋅8⋅X₇+X₅ {O(EXP)}
t₂₀, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇+X₆ {O(EXP)}
t₂₀, X₇: X₇ {O(n)}
t₂₁, X₁: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₁, X₂: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₁, X₄: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₁, X₅: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅60+2^(2⋅X₇)⋅8⋅X₇+X₅ {O(EXP)}
t₂₁, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇+X₆ {O(EXP)}
t₂₁, X₇: X₇ {O(n)}
t₂₂, X₁: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₂, X₂: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₂, X₄: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₂, X₅: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₂, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇+X₆ {O(EXP)}
t₂₂, X₇: X₇ {O(n)}
t₂₃, X₁: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₃, X₂: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₃, X₄: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₃, X₅: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₃, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇+X₆ {O(EXP)}
t₂₃, X₇: X₇ {O(n)}
t₂₄, X₁: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₂₄, X₂: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₄, X₄: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₂₄, X₅: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₄, X₆: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇)+2⋅X₆ {O(EXP)}
t₂₄, X₇: X₇ {O(n)}
t₂₅, X₁: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅48 {O(EXP)}
t₂₅, X₂: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅48+2 {O(EXP)}
t₂₅, X₄: 16⋅2^(2⋅X₇)⋅X₇+2^(2⋅X₇)⋅36+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₅, X₅: 16⋅2^(2⋅X₇)⋅X₇+2^(2⋅X₇)⋅36+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₅, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₅, X₇: X₇ {O(n)}
t₂₈, X₁: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₂₈, X₂: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₈, X₄: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₂₈, X₅: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₈, X₆: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇)+2⋅X₆ {O(EXP)}
t₂₈, X₇: X₇ {O(n)}
t₂₉, X₁: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₂₉, X₂: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₉, X₄: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₂₉, X₅: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₂₉, X₆: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇)+2⋅X₆ {O(EXP)}
t₂₉, X₇: X₇ {O(n)}
t₃₀, X₁: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₃₀, X₂: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₀, X₄: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₃₀, X₅: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₀, X₆: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇)+2⋅X₆ {O(EXP)}
t₃₀, X₇: X₇ {O(n)}
t₃₁, X₁: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₃₁, X₂: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₁, X₄: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₃₁, X₅: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₁, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₁, X₇: X₇ {O(n)}
t₃₂, X₁: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₃₂, X₂: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₂, X₄: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₃₂, X₅: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₂, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₂, X₇: X₇ {O(n)}
t₃₃, X₁: 2^(2⋅X₇)⋅64⋅X₇+2^(2⋅X₇)⋅96 {O(EXP)}
t₃₃, X₂: 16⋅2^(2⋅X₇)⋅X₇+2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅72+2 {O(EXP)}
t₃₃, X₄: 16⋅2^(2⋅X₇)⋅X₇+2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅72+1 {O(EXP)}
t₃₃, X₅: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅60+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₃, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₃, X₇: X₇ {O(n)}
t₃₅, X₁: 16⋅2^(2⋅X₇)⋅X₇+2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅72 {O(EXP)}
t₃₅, X₂: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅60+2^(2⋅X₇)⋅8⋅X₇+2 {O(EXP)}
t₃₅, X₄: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅60+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₅, X₅: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅48 {O(EXP)}
t₃₅, X₆: 16⋅2^(2⋅X₇)⋅X₇+24⋅2^(2⋅X₇) {O(EXP)}
t₃₅, X₇: 2⋅X₇ {O(n)}
t₃₇, X₁: 2^(2⋅X₇)⋅64⋅X₇+2^(2⋅X₇)⋅96 {O(EXP)}
t₃₇, X₂: 16⋅2^(2⋅X₇)⋅X₇+2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅72+2 {O(EXP)}
t₃₇, X₄: 16⋅2^(2⋅X₇)⋅X₇+2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅72+1 {O(EXP)}
t₃₇, X₅: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅60+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₇, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₇, X₇: X₇ {O(n)}
t₃₈, X₁: 2^(2⋅X₇)⋅64⋅X₇+2^(2⋅X₇)⋅96 {O(EXP)}
t₃₈, X₂: 16⋅2^(2⋅X₇)⋅X₇+2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅72+2 {O(EXP)}
t₃₈, X₄: 16⋅2^(2⋅X₇)⋅X₇+2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅72+1 {O(EXP)}
t₃₈, X₅: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅60+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₈, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₃₈, X₇: X₇ {O(n)}
t₄₀, X₁: 2^(2⋅X₇)⋅64⋅X₇+2^(2⋅X₇)⋅96 {O(EXP)}
t₄₀, X₂: 16⋅2^(2⋅X₇)⋅X₇+2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅72+2 {O(EXP)}
t₄₀, X₄: 16⋅2^(2⋅X₇)⋅X₇+2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅72+1 {O(EXP)}
t₄₀, X₅: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅60+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₄₀, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₄₀, X₇: X₇ {O(n)}
t₄₁, X₁: 2^(2⋅X₇)⋅64⋅X₇+2^(2⋅X₇)⋅96 {O(EXP)}
t₄₁, X₂: 16⋅2^(2⋅X₇)⋅X₇+2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅72+2 {O(EXP)}
t₄₁, X₄: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₄₁, X₅: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅60+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₄₁, X₆: 12⋅2^(2⋅X₇)+2^(2⋅X₇)⋅8⋅X₇ {O(EXP)}
t₄₁, X₇: X₇ {O(n)}
t₄₂, X₁: 144⋅2^(2⋅X₇)⋅X₇+264⋅2^(2⋅X₇)+2^(2⋅X₇)⋅32⋅X₇+X₁ {O(EXP)}
t₄₂, X₂: 204⋅2^(2⋅X₇)+2^(2⋅X₇)⋅64⋅X₇+2^(2⋅X₇)⋅64⋅X₇+2^(2⋅X₇)⋅8⋅X₇+X₂+6 {O(EXP)}
t₄₂, X₄: 204⋅2^(2⋅X₇)+2^(2⋅X₇)⋅64⋅X₇+2^(2⋅X₇)⋅64⋅X₇+2^(2⋅X₇)⋅8⋅X₇+3 {O(EXP)}
t₄₂, X₅: 16⋅2^(2⋅X₇)⋅X₇+168⋅2^(2⋅X₇)+2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅64⋅X₇+X₅ {O(EXP)}
t₄₂, X₆: 2^(2⋅X₇)⋅32⋅X₇+2^(2⋅X₇)⋅48+X₆ {O(EXP)}
t₄₂, X₇: 5⋅X₇ {O(n)}