Initial Problem
Start: eval_rank1_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars: nondef_0, nondef_1
Locations: eval_rank1_0, eval_rank1_1, eval_rank1_13, eval_rank1_14, eval_rank1_2, eval_rank1_3, eval_rank1_4, eval_rank1_5, eval_rank1_6, eval_rank1_7, eval_rank1_8, eval_rank1_9, eval_rank1__critedge_in, eval_rank1_bb0_in, eval_rank1_bb1_in, eval_rank1_bb2_in, eval_rank1_bb3_in, eval_rank1_bb4_in, eval_rank1_bb5_in, eval_rank1_bb6_in, eval_rank1_bb7_in, eval_rank1_start, eval_rank1_stop
Transitions:
t₂: eval_rank1_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₃: eval_rank1_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₂₃: eval_rank1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₂₄: eval_rank1_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₂, X₆, X₇, X₇)
t₄: eval_rank1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₅: eval_rank1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₆: eval_rank1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₇: eval_rank1_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb1_in(X₀, X₁, X₂, X₃, X₃, X₅, 0, X₇, X₈)
t₁₂: eval_rank1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_7(nondef_0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₁₃: eval_rank1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₆, X₈) :|: 1 ≤ X₀
t₁₄: eval_rank1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₄, X₆, X₇, X₆) :|: X₀ ≤ 0
t₁₈: eval_rank1_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_9(X₀, nondef_1, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₂₀: eval_rank1_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1__critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ 0
t₁₉: eval_rank1_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₁
t₂₂: eval_rank1__critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_13(X₀, X₁, X₄-1, X₃, X₄, X₅, X₆, X₇, X₈)
t₁: eval_rank1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₈: eval_rank1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ X₄ ∧ 0 ≤ X₆
t₉: eval_rank1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₄ ≤ 0
t₁₀: eval_rank1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₆ ≤ 0
t₁₁: eval_rank1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₁₆: eval_rank1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1__critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₃ ≤ X₇
t₁₅: eval_rank1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₇ ≤ X₃
t₁₇: eval_rank1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₂₁: eval_rank1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇, X₈)
t₂₅: eval_rank1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb1_in(X₀, X₁, X₂, X₃, X₅, X₅, X₈-1, X₇, X₈)
t₂₆: eval_rank1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₀: eval_rank1_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
Preprocessing
Found invariant 0 ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ X₆ ≤ X₈ ∧ 0 ≤ 1+X₅+X₈ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₃+X₈ ∧ 0 ≤ X₆ ∧ 0 ≤ 1+X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₄+X₅ ∧ X₄ ≤ 1+X₅ ∧ 0 ≤ 1+X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃ for location eval_rank1_bb6_in
Found invariant 0 ≤ 1+X₆ ∧ X₄ ≤ X₃ for location eval_rank1_bb7_in
Found invariant X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_rank1_bb4_in
Found invariant 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃ for location eval_rank1_bb2_in
Found invariant 0 ≤ 1+X₆ ∧ X₄ ≤ X₃ for location eval_rank1_bb1_in
Found invariant X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_rank1_9
Found invariant 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_rank1_bb3_in
Found invariant 0 ≤ 1+X₆ ∧ X₄ ≤ X₃ for location eval_rank1_stop
Found invariant X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_rank1_8
Found invariant X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_rank1_bb5_in
Found invariant 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ 1+X₂+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₂+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location eval_rank1_13
Found invariant 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃ for location eval_rank1_7
Found invariant 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_rank1__critedge_in
Found invariant 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ 1+X₂+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₂+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location eval_rank1_14
Found invariant 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃ for location eval_rank1_6
Problem after Preprocessing
Start: eval_rank1_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars: nondef_0, nondef_1
Locations: eval_rank1_0, eval_rank1_1, eval_rank1_13, eval_rank1_14, eval_rank1_2, eval_rank1_3, eval_rank1_4, eval_rank1_5, eval_rank1_6, eval_rank1_7, eval_rank1_8, eval_rank1_9, eval_rank1__critedge_in, eval_rank1_bb0_in, eval_rank1_bb1_in, eval_rank1_bb2_in, eval_rank1_bb3_in, eval_rank1_bb4_in, eval_rank1_bb5_in, eval_rank1_bb6_in, eval_rank1_bb7_in, eval_rank1_start, eval_rank1_stop
Transitions:
t₂: eval_rank1_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₃: eval_rank1_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₂₃: eval_rank1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₆ ∧ 0 ≤ 1+X₂+X₇ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₂₄: eval_rank1_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₂, X₆, X₇, X₇) :|: 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₆ ∧ 0 ≤ 1+X₂+X₇ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₄: eval_rank1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₅: eval_rank1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₆: eval_rank1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₇: eval_rank1_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb1_in(X₀, X₁, X₂, X₃, X₃, X₅, 0, X₇, X₈)
t₁₂: eval_rank1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_7(nondef_0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₆
t₁₃: eval_rank1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₆, X₈) :|: 1 ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₆
t₁₄: eval_rank1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₄, X₆, X₇, X₆) :|: X₀ ≤ 0 ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₆
t₁₈: eval_rank1_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_9(X₀, nondef_1, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₂₀: eval_rank1_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1__critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₁₉: eval_rank1_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₂₂: eval_rank1__critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_13(X₀, X₁, X₄-1, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₁: eval_rank1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₈: eval_rank1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ X₄ ∧ 0 ≤ X₆ ∧ 0 ≤ 1+X₆ ∧ X₄ ≤ X₃
t₉: eval_rank1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₄ ≤ 0 ∧ 0 ≤ 1+X₆ ∧ X₄ ≤ X₃
t₁₀: eval_rank1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₆ ≤ 0 ∧ 0 ≤ 1+X₆ ∧ X₄ ≤ X₃
t₁₁: eval_rank1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₆
t₁₆: eval_rank1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1__critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₃ ≤ X₇ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₁₅: eval_rank1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₇ ≤ X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₁₇: eval_rank1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₂₁: eval_rank1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇, X₈) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₁+X₆ ∧ 1 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₂₅: eval_rank1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb1_in(X₀, X₁, X₂, X₃, X₅, X₅, X₈-1, X₇, X₈) :|: 0 ≤ 1+X₃+X₅ ∧ 0 ≤ 1+X₄+X₅ ∧ X₄ ≤ 1+X₅ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₆ ∧ 0 ≤ 1+X₅+X₈ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₈ ∧ 0 ≤ X₄ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₈ ∧ X₆ ≤ X₈ ∧ 0 ≤ X₈
t₂₆: eval_rank1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ 1+X₆ ∧ X₄ ≤ X₃
t₀: eval_rank1_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
MPRF for transition t₁₃: eval_rank1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₆, X₈) :|: 1 ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_rank1_13: [X₄]
• eval_rank1_14: [X₄]
• eval_rank1_6: [1+X₄]
• eval_rank1_7: [1+X₄]
• eval_rank1_8: [X₄]
• eval_rank1_9: [X₄]
• eval_rank1__critedge_in: [X₄]
• eval_rank1_bb1_in: [1+X₄]
• eval_rank1_bb2_in: [1+X₄]
• eval_rank1_bb3_in: [X₄]
• eval_rank1_bb4_in: [X₄]
• eval_rank1_bb5_in: [X₄]
• eval_rank1_bb6_in: [1+X₅]
MPRF for transition t₁₆: eval_rank1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1__critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₃ ≤ X₇ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_rank1_13: [X₄]
• eval_rank1_14: [X₄]
• eval_rank1_6: [1+X₄]
• eval_rank1_7: [1+X₄]
• eval_rank1_8: [1+X₄]
• eval_rank1_9: [1+X₄]
• eval_rank1__critedge_in: [X₄]
• eval_rank1_bb1_in: [1+X₄]
• eval_rank1_bb2_in: [1+X₄]
• eval_rank1_bb3_in: [1+X₄]
• eval_rank1_bb4_in: [1+X₄]
• eval_rank1_bb5_in: [1+X₄]
• eval_rank1_bb6_in: [1+X₅]
MPRF for transition t₂₀: eval_rank1_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1__critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_rank1_13: [1+X₂]
• eval_rank1_14: [1+X₂]
• eval_rank1_6: [1+X₄]
• eval_rank1_7: [1+X₄]
• eval_rank1_8: [1+X₄]
• eval_rank1_9: [1+X₄]
• eval_rank1__critedge_in: [X₄]
• eval_rank1_bb1_in: [1+X₄]
• eval_rank1_bb2_in: [1+X₄]
• eval_rank1_bb3_in: [1+X₄]
• eval_rank1_bb4_in: [1+X₄]
• eval_rank1_bb5_in: [1+X₄]
• eval_rank1_bb6_in: [1+X₅]
MPRF for transition t₂₂: eval_rank1__critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_13(X₀, X₁, X₄-1, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_rank1_13: [1+X₂]
• eval_rank1_14: [1+X₂]
• eval_rank1_6: [1+X₄]
• eval_rank1_7: [1+X₄]
• eval_rank1_8: [1+X₄]
• eval_rank1_9: [1+X₄]
• eval_rank1__critedge_in: [1+X₄]
• eval_rank1_bb1_in: [1+X₄]
• eval_rank1_bb2_in: [1+X₄]
• eval_rank1_bb3_in: [1+X₄]
• eval_rank1_bb4_in: [1+X₄]
• eval_rank1_bb5_in: [1+X₄]
• eval_rank1_bb6_in: [1+X₅]
MPRF for transition t₂₃: eval_rank1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₆ ∧ 0 ≤ 1+X₂+X₇ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_rank1_13: [1+X₄]
• eval_rank1_14: [X₄]
• eval_rank1_6: [1+X₄]
• eval_rank1_7: [1+X₄]
• eval_rank1_8: [1+X₄]
• eval_rank1_9: [1+X₄]
• eval_rank1__critedge_in: [1+X₄]
• eval_rank1_bb1_in: [1+X₄]
• eval_rank1_bb2_in: [1+X₄]
• eval_rank1_bb3_in: [1+X₄]
• eval_rank1_bb4_in: [1+X₄]
• eval_rank1_bb5_in: [1+X₄]
• eval_rank1_bb6_in: [1+X₅]
MPRF for transition t₂₄: eval_rank1_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₂, X₆, X₇, X₇) :|: 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₆ ∧ 0 ≤ 1+X₂+X₇ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_rank1_13: [2+X₂]
• eval_rank1_14: [1+X₄]
• eval_rank1_6: [1+X₄]
• eval_rank1_7: [1+X₄]
• eval_rank1_8: [1+X₄]
• eval_rank1_9: [1+X₄]
• eval_rank1__critedge_in: [1+X₄]
• eval_rank1_bb1_in: [1+X₄]
• eval_rank1_bb2_in: [1+X₄]
• eval_rank1_bb3_in: [1+X₄]
• eval_rank1_bb4_in: [1+X₄]
• eval_rank1_bb5_in: [1+X₄]
• eval_rank1_bb6_in: [1+X₅]
MPRF for transition t₁₅: eval_rank1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₇ ≤ X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
X₃⋅X₃+3⋅X₃+2 {O(n^2)}
MPRF:
• eval_rank1_13: [3+3⋅X₂+X₃-3⋅X₄-X₇]
• eval_rank1_14: [3+3⋅X₂+X₃-3⋅X₄-X₇]
• eval_rank1_6: [1+X₃]
• eval_rank1_7: [1+X₃]
• eval_rank1_8: [X₃-X₇]
• eval_rank1_9: [X₃-X₇]
• eval_rank1__critedge_in: [X₃-X₇]
• eval_rank1_bb1_in: [1+X₃]
• eval_rank1_bb2_in: [1+X₃]
• eval_rank1_bb3_in: [1+X₃-X₇]
• eval_rank1_bb4_in: [X₃-X₇]
• eval_rank1_bb5_in: [X₃-X₇]
• eval_rank1_bb6_in: [1+X₃]
MPRF for transition t₁₇: eval_rank1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
8⋅X₃⋅X₃+22⋅X₃+8 {O(n^2)}
MPRF:
• eval_rank1_13: [1+X₂+4⋅X₃+2⋅X₄-X₇]
• eval_rank1_14: [1+X₂+4⋅X₃+2⋅X₄-X₇]
• eval_rank1_6: [1+4⋅X₃+3⋅X₄]
• eval_rank1_7: [1+4⋅X₃+3⋅X₄]
• eval_rank1_8: [4⋅X₃+3⋅X₄-X₇]
• eval_rank1_9: [4⋅X₃+3⋅X₄-X₇]
• eval_rank1__critedge_in: [4⋅X₃+3⋅X₄-X₇]
• eval_rank1_bb1_in: [1+4⋅X₃+3⋅X₄]
• eval_rank1_bb2_in: [1+4⋅X₃+3⋅X₄]
• eval_rank1_bb3_in: [1+4⋅X₃+3⋅X₄-X₇]
• eval_rank1_bb4_in: [1+4⋅X₃+3⋅X₄-X₇]
• eval_rank1_bb5_in: [4⋅X₃+3⋅X₄-X₇]
• eval_rank1_bb6_in: [1+4⋅X₃+2⋅X₄+X₅]
MPRF for transition t₁₈: eval_rank1_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_9(X₀, nondef_1, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
X₃⋅X₃+3⋅X₃+2 {O(n^2)}
MPRF:
• eval_rank1_13: [3+3⋅X₂-2⋅X₃-X₇]
• eval_rank1_14: [3+3⋅X₂-2⋅X₃-X₇]
• eval_rank1_6: [1+X₃]
• eval_rank1_7: [1+X₃]
• eval_rank1_8: [1+X₃-X₇]
• eval_rank1_9: [X₃-X₇]
• eval_rank1__critedge_in: [X₃-X₇]
• eval_rank1_bb1_in: [1+X₃]
• eval_rank1_bb2_in: [1+X₃]
• eval_rank1_bb3_in: [1+X₃-X₇]
• eval_rank1_bb4_in: [1+X₃-X₇]
• eval_rank1_bb5_in: [X₃-X₇]
• eval_rank1_bb6_in: [1+X₃]
MPRF for transition t₁₉: eval_rank1_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
3⋅X₃⋅X₃+9⋅X₃+4 {O(n^2)}
MPRF:
• eval_rank1_13: [1+X₃+2⋅X₄-X₇]
• eval_rank1_14: [1+X₃+2⋅X₄-X₇]
• eval_rank1_6: [1+X₃+2⋅X₄]
• eval_rank1_7: [1+X₃+2⋅X₄]
• eval_rank1_8: [1+X₃+2⋅X₄-X₇]
• eval_rank1_9: [1+X₃+2⋅X₄-X₇]
• eval_rank1__critedge_in: [1+X₃+2⋅X₄-X₇]
• eval_rank1_bb1_in: [1+X₃+2⋅X₄]
• eval_rank1_bb2_in: [1+X₃+2⋅X₄]
• eval_rank1_bb3_in: [1+X₃+2⋅X₄-X₇]
• eval_rank1_bb4_in: [1+X₃+2⋅X₄-X₇]
• eval_rank1_bb5_in: [X₃+2⋅X₄-X₇]
• eval_rank1_bb6_in: [1+X₃+2⋅X₄]
MPRF for transition t₂₁: eval_rank1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇, X₈) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₁+X₆ ∧ 1 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
3⋅X₃⋅X₃+9⋅X₃+4 {O(n^2)}
MPRF:
• eval_rank1_13: [1+X₃+2⋅X₄-X₇]
• eval_rank1_14: [1+X₃+2⋅X₄-X₇]
• eval_rank1_6: [1+X₃+2⋅X₄]
• eval_rank1_7: [1+X₃+2⋅X₄]
• eval_rank1_8: [1+X₃+2⋅X₄-X₇]
• eval_rank1_9: [1+X₃+2⋅X₄-X₇]
• eval_rank1__critedge_in: [1+X₃+2⋅X₄-X₇]
• eval_rank1_bb1_in: [1+X₃+2⋅X₄]
• eval_rank1_bb2_in: [1+X₃+2⋅X₄]
• eval_rank1_bb3_in: [1+X₃+2⋅X₄-X₇]
• eval_rank1_bb4_in: [1+X₃+2⋅X₄-X₇]
• eval_rank1_bb5_in: [1+X₃+2⋅X₄-X₇]
• eval_rank1_bb6_in: [1+X₃+2⋅X₄]
MPRF for transition t₈: eval_rank1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ X₄ ∧ 0 ≤ X₆ ∧ 0 ≤ 1+X₆ ∧ X₄ ≤ X₃ of depth 1:
new bound:
3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+14⋅X₃+6 {O(n^3)}
MPRF:
• eval_rank1_13: [0]
• eval_rank1_14: [0]
• eval_rank1_6: [X₆]
• eval_rank1_7: [X₆]
• eval_rank1_8: [X₆]
• eval_rank1_9: [X₆]
• eval_rank1__critedge_in: [0]
• eval_rank1_bb1_in: [1+X₆]
• eval_rank1_bb2_in: [X₆]
• eval_rank1_bb3_in: [X₆]
• eval_rank1_bb4_in: [X₆]
• eval_rank1_bb5_in: [X₆]
• eval_rank1_bb6_in: [X₈]
MPRF for transition t₁₁: eval_rank1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₆ of depth 1:
new bound:
3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+14⋅X₃+6 {O(n^3)}
MPRF:
• eval_rank1_13: [0]
• eval_rank1_14: [0]
• eval_rank1_6: [X₆]
• eval_rank1_7: [X₆]
• eval_rank1_8: [X₆]
• eval_rank1_9: [X₆]
• eval_rank1__critedge_in: [0]
• eval_rank1_bb1_in: [1+X₆]
• eval_rank1_bb2_in: [1+X₆]
• eval_rank1_bb3_in: [X₆]
• eval_rank1_bb4_in: [X₆]
• eval_rank1_bb5_in: [X₆]
• eval_rank1_bb6_in: [X₈]
MPRF for transition t₁₂: eval_rank1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_7(nondef_0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₆ of depth 1:
new bound:
3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+14⋅X₃+6 {O(n^3)}
MPRF:
• eval_rank1_13: [0]
• eval_rank1_14: [0]
• eval_rank1_6: [1+X₆]
• eval_rank1_7: [X₆]
• eval_rank1_8: [0]
• eval_rank1_9: [0]
• eval_rank1__critedge_in: [0]
• eval_rank1_bb1_in: [1+X₆]
• eval_rank1_bb2_in: [1+X₆]
• eval_rank1_bb3_in: [0]
• eval_rank1_bb4_in: [0]
• eval_rank1_bb5_in: [0]
• eval_rank1_bb6_in: [X₈]
MPRF for transition t₁₄: eval_rank1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₄, X₆, X₇, X₆) :|: X₀ ≤ 0 ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₆ of depth 1:
new bound:
3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+14⋅X₃+6 {O(n^3)}
MPRF:
• eval_rank1_13: [0]
• eval_rank1_14: [0]
• eval_rank1_6: [1+X₆]
• eval_rank1_7: [1+X₆]
• eval_rank1_8: [0]
• eval_rank1_9: [0]
• eval_rank1__critedge_in: [0]
• eval_rank1_bb1_in: [1+X₆]
• eval_rank1_bb2_in: [1+X₆]
• eval_rank1_bb3_in: [0]
• eval_rank1_bb4_in: [0]
• eval_rank1_bb5_in: [0]
• eval_rank1_bb6_in: [X₈]
MPRF for transition t₂₅: eval_rank1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_rank1_bb1_in(X₀, X₁, X₂, X₃, X₅, X₅, X₈-1, X₇, X₈) :|: 0 ≤ 1+X₃+X₅ ∧ 0 ≤ 1+X₄+X₅ ∧ X₄ ≤ 1+X₅ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₆ ∧ 0 ≤ 1+X₅+X₈ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₈ ∧ 0 ≤ X₄ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₈ ∧ X₆ ≤ X₈ ∧ 0 ≤ X₈ of depth 1:
new bound:
3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+15⋅X₃+7 {O(n^3)}
MPRF:
• eval_rank1_13: [0]
• eval_rank1_14: [0]
• eval_rank1_6: [1+X₆]
• eval_rank1_7: [1+X₆]
• eval_rank1_8: [0]
• eval_rank1_9: [0]
• eval_rank1__critedge_in: [0]
• eval_rank1_bb1_in: [1+X₆]
• eval_rank1_bb2_in: [1+X₆]
• eval_rank1_bb3_in: [0]
• eval_rank1_bb4_in: [0]
• eval_rank1_bb5_in: [0]
• eval_rank1_bb6_in: [1+X₈]
Cut unreachable locations [eval_rank1_7; eval_rank1_9] from the program graph
Cut unsatisfiable transition [t₁₀: eval_rank1_bb1_in→eval_rank1_bb7_in; t₁₃₈: eval_rank1_bb1_in→eval_rank1_bb7_in]
Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_rank1_8_v1
Found invariant 0 ≤ 1+X₆ ∧ X₄ ≤ X₃ for location eval_rank1_bb7_in
Found invariant X₇ ≤ X₃ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_rank1_8_v2
Found invariant X₈ ≤ X₇ ∧ X₈ ≤ 1+X₆ ∧ X₈ ≤ 1+X₃ ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 0 ≤ 1+X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 0 ≤ 1+X₅+X₈ ∧ 0 ≤ 1+X₄+X₈ ∧ 0 ≤ X₃+X₈ ∧ 0 ≤ 1+X₂+X₈ ∧ 1 ≤ X₀+X₈ ∧ X₇ ≤ 1+X₆ ∧ X₇ ≤ 1+X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ 1+X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ 1+X₂+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₄+X₆ ∧ 0 ≤ 1+X₃+X₆ ∧ 0 ≤ 2+X₂+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ X₅ ≤ X₂ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 2+X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ 1+X₃+X₅ ∧ 0 ≤ 2+X₂+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ 0 ≤ 1+X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 2+X₂+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location eval_rank1_bb1_in_v2
Found invariant 0 ≤ 1+X₆ ∧ X₄ ≤ X₃ for location eval_rank1_stop
Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_rank1_9_v1
Found invariant X₇ ≤ 1+X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ 1+X₂+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₂+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location eval_rank1_13
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₃ for location eval_rank1_bb2_in_v1
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₃ for location eval_rank1_6_v1
Found invariant X₇ ≤ 1+X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_rank1__critedge_in
Found invariant X₈ ≤ 1+X₆ ∧ X₈ ≤ 1+X₃ ∧ 1 ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1 ≤ X₄+X₈ ∧ 2 ≤ X₃+X₈ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃ for location eval_rank1_bb2_in_v2
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₃ for location eval_rank1_7_v1
Found invariant X₈ ≤ X₇ ∧ X₈ ≤ 1+X₃ ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ X₆ ≤ X₈ ∧ 0 ≤ 1+X₅+X₈ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₃+X₈ ∧ 0 ≤ 1+X₂+X₈ ∧ 1 ≤ X₀+X₈ ∧ X₇ ≤ 1+X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ 1+X₂+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ 1+X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₂+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ X₅ ≤ X₂ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₄+X₅ ∧ X₄ ≤ 1+X₅ ∧ 0 ≤ 1+X₃+X₅ ∧ 0 ≤ 2+X₂+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location eval_rank1_bb6_in
Found invariant X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ for location eval_rank1_bb1_in
Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_rank1_bb3_in
Found invariant X₈ ≤ 1+X₆ ∧ X₈ ≤ 1+X₃ ∧ 1 ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1 ≤ X₄+X₈ ∧ 2 ≤ X₃+X₈ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃ for location eval_rank1_7_v2
Found invariant X₇ ≤ X₃ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_rank1_9_v2
Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_rank1_bb4_in_v1
Found invariant X₇ ≤ X₃ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_rank1_bb5_in_v2
Found invariant X₈ ≤ X₆ ∧ X₈ ≤ X₃ ∧ 0 ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ X₆ ≤ X₈ ∧ 0 ≤ X₅+X₈ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₃+X₈ ∧ X₀ ≤ X₈ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 0 for location eval_rank1_bb6_in_v1
Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_rank1_bb5_in_v1
Found invariant X₇ ≤ 1+X₃ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 1 ≤ X₃+X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_rank1_bb3_in_v1
Found invariant X₇ ≤ 1+X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ 1+X₂+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₂+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location eval_rank1_14
Found invariant X₈ ≤ 1+X₆ ∧ X₈ ≤ 1+X₃ ∧ 1 ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1 ≤ X₄+X₈ ∧ 2 ≤ X₃+X₈ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃ for location eval_rank1_6_v2
Found invariant X₈ ≤ 1+X₆ ∧ X₈ ≤ X₃ ∧ 0 ≤ X₈ ∧ 0 ≤ 1+X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 0 ≤ X₅+X₈ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₃+X₈ ∧ X₀ ≤ X₈ ∧ 1+X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₅+X₆ ∧ 0 ≤ 1+X₄+X₆ ∧ 0 ≤ 1+X₃+X₆ ∧ X₀ ≤ 1+X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 0 for location eval_rank1_bb1_in_v1
Found invariant X₇ ≤ X₃ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_rank1_bb4_in_v2
Cut unsatisfiable transition [t₁₆: eval_rank1_bb3_in→eval_rank1__critedge_in; t₁₅₃: eval_rank1_bb3_in→eval_rank1__critedge_in]
All Bounds
Timebounds
Overall timebound:15⋅X₃⋅X₃⋅X₃+76⋅X₃⋅X₃+123⋅X₃+68 {O(n^3)}
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: 3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+14⋅X₃+6 {O(n^3)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: 3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+14⋅X₃+6 {O(n^3)}
t₁₂: 3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+14⋅X₃+6 {O(n^3)}
t₁₃: X₃+1 {O(n)}
t₁₄: 3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+14⋅X₃+6 {O(n^3)}
t₁₅: X₃⋅X₃+3⋅X₃+2 {O(n^2)}
t₁₆: X₃+1 {O(n)}
t₁₇: 8⋅X₃⋅X₃+22⋅X₃+8 {O(n^2)}
t₁₈: X₃⋅X₃+3⋅X₃+2 {O(n^2)}
t₁₉: 3⋅X₃⋅X₃+9⋅X₃+4 {O(n^2)}
t₂₀: X₃+1 {O(n)}
t₂₁: 3⋅X₃⋅X₃+9⋅X₃+4 {O(n^2)}
t₂₂: X₃+1 {O(n)}
t₂₃: X₃+1 {O(n)}
t₂₄: X₃+1 {O(n)}
t₂₅: 3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+15⋅X₃+7 {O(n^3)}
t₂₆: 1 {O(1)}
Costbounds
Overall costbound: 15⋅X₃⋅X₃⋅X₃+76⋅X₃⋅X₃+123⋅X₃+68 {O(n^3)}
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: 3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+14⋅X₃+6 {O(n^3)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: 3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+14⋅X₃+6 {O(n^3)}
t₁₂: 3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+14⋅X₃+6 {O(n^3)}
t₁₃: X₃+1 {O(n)}
t₁₄: 3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+14⋅X₃+6 {O(n^3)}
t₁₅: X₃⋅X₃+3⋅X₃+2 {O(n^2)}
t₁₆: X₃+1 {O(n)}
t₁₇: 8⋅X₃⋅X₃+22⋅X₃+8 {O(n^2)}
t₁₈: X₃⋅X₃+3⋅X₃+2 {O(n^2)}
t₁₉: 3⋅X₃⋅X₃+9⋅X₃+4 {O(n^2)}
t₂₀: X₃+1 {O(n)}
t₂₁: 3⋅X₃⋅X₃+9⋅X₃+4 {O(n^2)}
t₂₂: X₃+1 {O(n)}
t₂₃: X₃+1 {O(n)}
t₂₄: X₃+1 {O(n)}
t₂₅: 3⋅X₃⋅X₃⋅X₃+12⋅X₃⋅X₃+15⋅X₃+7 {O(n^3)}
t₂₆: 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)}
t₀, X₈: X₈ {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)}
t₁, X₈: X₈ {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)}
t₂, X₈: X₈ {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)}
t₃, X₈: X₈ {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)}
t₄, X₈: X₈ {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)}
t₅, X₈: X₈ {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)}
t₆, X₈: X₈ {O(n)}
t₇, X₀: X₀ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₃ {O(n)}
t₇, X₅: X₅ {O(n)}
t₇, X₆: 0 {O(1)}
t₇, X₇: X₇ {O(n)}
t₇, X₈: X₈ {O(n)}
t₈, X₂: 2⋅X₃+X₂+4 {O(n)}
t₈, X₃: X₃ {O(n)}
t₈, X₄: X₃+1 {O(n)}
t₈, X₅: 3⋅X₃+X₅+5 {O(n)}
t₈, X₆: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₈, X₇: 3⋅X₃⋅X₃+9⋅X₃+X₇+5 {O(n^2)}
t₈, X₈: 6⋅X₃⋅X₃+18⋅X₃+X₈+10 {O(n^2)}
t₉, X₂: 2⋅X₂+2⋅X₃+4 {O(n)}
t₉, X₃: 2⋅X₃ {O(n)}
t₉, X₄: 2⋅X₃+1 {O(n)}
t₉, X₅: 3⋅X₃+X₅+5 {O(n)}
t₉, X₆: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₉, X₇: 3⋅X₃⋅X₃+2⋅X₇+9⋅X₃+5 {O(n^2)}
t₉, X₈: 6⋅X₃⋅X₃+18⋅X₃+X₈+10 {O(n^2)}
t₁₀, X₂: 2⋅X₃+X₂+4 {O(n)}
t₁₀, X₃: X₃ {O(n)}
t₁₀, X₄: X₃+1 {O(n)}
t₁₀, X₅: 3⋅X₃+5 {O(n)}
t₁₀, X₆: 1 {O(1)}
t₁₀, X₇: 3⋅X₃⋅X₃+9⋅X₃+X₇+5 {O(n^2)}
t₁₀, X₈: 6⋅X₃⋅X₃+18⋅X₃+10 {O(n^2)}
t₁₁, X₂: 2⋅X₃+X₂+4 {O(n)}
t₁₁, X₃: X₃ {O(n)}
t₁₁, X₄: X₃+1 {O(n)}
t₁₁, X₅: 3⋅X₃+X₅+5 {O(n)}
t₁₁, X₆: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₁, X₇: 3⋅X₃⋅X₃+9⋅X₃+X₇+5 {O(n^2)}
t₁₁, X₈: 6⋅X₃⋅X₃+18⋅X₃+X₈+10 {O(n^2)}
t₁₂, X₂: 2⋅X₃+X₂+4 {O(n)}
t₁₂, X₃: X₃ {O(n)}
t₁₂, X₄: X₃+1 {O(n)}
t₁₂, X₅: 3⋅X₃+X₅+5 {O(n)}
t₁₂, X₆: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₂, X₇: 3⋅X₃⋅X₃+9⋅X₃+X₇+5 {O(n^2)}
t₁₂, X₈: 6⋅X₃⋅X₃+18⋅X₃+X₈+10 {O(n^2)}
t₁₃, X₂: 2⋅X₃+X₂+4 {O(n)}
t₁₃, X₃: X₃ {O(n)}
t₁₃, X₄: X₃+1 {O(n)}
t₁₃, X₅: 3⋅X₃+X₅+5 {O(n)}
t₁₃, X₆: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₃, X₇: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₃, X₈: 6⋅X₃⋅X₃+18⋅X₃+X₈+10 {O(n^2)}
t₁₄, X₂: 2⋅X₃+X₂+4 {O(n)}
t₁₄, X₃: X₃ {O(n)}
t₁₄, X₄: X₃+1 {O(n)}
t₁₄, X₅: X₃+1 {O(n)}
t₁₄, X₆: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₄, X₇: 3⋅X₃⋅X₃+9⋅X₃+X₇+5 {O(n^2)}
t₁₄, X₈: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₅, X₂: 2⋅X₃+X₂+4 {O(n)}
t₁₅, X₃: X₃ {O(n)}
t₁₅, X₄: X₃+1 {O(n)}
t₁₅, X₅: 3⋅X₃+X₅+5 {O(n)}
t₁₅, X₆: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₅, X₇: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₅, X₈: 6⋅X₃⋅X₃+18⋅X₃+X₈+10 {O(n^2)}
t₁₆, X₂: 2⋅X₂+4⋅X₃+8 {O(n)}
t₁₆, X₃: X₃ {O(n)}
t₁₆, X₄: X₃+1 {O(n)}
t₁₆, X₅: 2⋅X₅+6⋅X₃+10 {O(n)}
t₁₆, X₆: 6⋅X₃⋅X₃+18⋅X₃+10 {O(n^2)}
t₁₆, X₇: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₆, X₈: 12⋅X₃⋅X₃+2⋅X₈+36⋅X₃+20 {O(n^2)}
t₁₇, X₂: 2⋅X₃+X₂+4 {O(n)}
t₁₇, X₃: X₃ {O(n)}
t₁₇, X₄: X₃+1 {O(n)}
t₁₇, X₅: 3⋅X₃+X₅+5 {O(n)}
t₁₇, X₆: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₇, X₇: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₇, X₈: 6⋅X₃⋅X₃+18⋅X₃+X₈+10 {O(n^2)}
t₁₈, X₂: 2⋅X₃+X₂+4 {O(n)}
t₁₈, X₃: X₃ {O(n)}
t₁₈, X₄: X₃+1 {O(n)}
t₁₈, X₅: 3⋅X₃+X₅+5 {O(n)}
t₁₈, X₆: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₈, X₇: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₈, X₈: 6⋅X₃⋅X₃+18⋅X₃+X₈+10 {O(n^2)}
t₁₉, X₂: 2⋅X₃+X₂+4 {O(n)}
t₁₉, X₃: X₃ {O(n)}
t₁₉, X₄: X₃+1 {O(n)}
t₁₉, X₅: 3⋅X₃+X₅+5 {O(n)}
t₁₉, X₆: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₉, X₇: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₁₉, X₈: 6⋅X₃⋅X₃+18⋅X₃+X₈+10 {O(n^2)}
t₂₀, X₂: 2⋅X₃+X₂+4 {O(n)}
t₂₀, X₃: X₃ {O(n)}
t₂₀, X₄: X₃+1 {O(n)}
t₂₀, X₅: 3⋅X₃+X₅+5 {O(n)}
t₂₀, X₆: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₂₀, X₇: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₂₀, X₈: 6⋅X₃⋅X₃+18⋅X₃+X₈+10 {O(n^2)}
t₂₁, X₂: 2⋅X₃+X₂+4 {O(n)}
t₂₁, X₃: X₃ {O(n)}
t₂₁, X₄: X₃+1 {O(n)}
t₂₁, X₅: 3⋅X₃+X₅+5 {O(n)}
t₂₁, X₆: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₂₁, X₇: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₂₁, X₈: 6⋅X₃⋅X₃+18⋅X₃+X₈+10 {O(n^2)}
t₂₂, X₂: 2⋅X₃+4 {O(n)}
t₂₂, X₃: X₃ {O(n)}
t₂₂, X₄: X₃+1 {O(n)}
t₂₂, X₅: 3⋅X₅+9⋅X₃+15 {O(n)}
t₂₂, X₆: 9⋅X₃⋅X₃+27⋅X₃+15 {O(n^2)}
t₂₂, X₇: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₂₂, X₈: 18⋅X₃⋅X₃+3⋅X₈+54⋅X₃+30 {O(n^2)}
t₂₃, X₂: 2⋅X₃+4 {O(n)}
t₂₃, X₃: X₃ {O(n)}
t₂₃, X₄: X₃+1 {O(n)}
t₂₃, X₅: 3⋅X₅+9⋅X₃+15 {O(n)}
t₂₃, X₆: 9⋅X₃⋅X₃+27⋅X₃+15 {O(n^2)}
t₂₃, X₇: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₂₃, X₈: 18⋅X₃⋅X₃+3⋅X₈+54⋅X₃+30 {O(n^2)}
t₂₄, X₂: 2⋅X₃+4 {O(n)}
t₂₄, X₃: X₃ {O(n)}
t₂₄, X₄: X₃+1 {O(n)}
t₂₄, X₅: 2⋅X₃+4 {O(n)}
t₂₄, X₆: 9⋅X₃⋅X₃+27⋅X₃+15 {O(n^2)}
t₂₄, X₇: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₂₄, X₈: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₂₅, X₂: 2⋅X₃+X₂+4 {O(n)}
t₂₅, X₃: X₃ {O(n)}
t₂₅, X₄: X₃+1 {O(n)}
t₂₅, X₅: 3⋅X₃+5 {O(n)}
t₂₅, X₆: 3⋅X₃⋅X₃+9⋅X₃+5 {O(n^2)}
t₂₅, X₇: 3⋅X₃⋅X₃+9⋅X₃+X₇+5 {O(n^2)}
t₂₅, X₈: 6⋅X₃⋅X₃+18⋅X₃+10 {O(n^2)}
t₂₆, X₂: 3⋅X₂+4⋅X₃+8 {O(n)}
t₂₆, X₃: 3⋅X₃ {O(n)}
t₂₆, X₄: 3⋅X₃+2 {O(n)}
t₂₆, X₅: 6⋅X₃+X₅+10 {O(n)}
t₂₆, X₆: 3⋅X₃⋅X₃+9⋅X₃+6 {O(n^2)}
t₂₆, X₇: 6⋅X₃⋅X₃+18⋅X₃+3⋅X₇+10 {O(n^2)}
t₂₆, X₈: 12⋅X₃⋅X₃+36⋅X₃+X₈+20 {O(n^2)}