Initial Problem

Start: eval_perfect1_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: eval_perfect1_0, eval_perfect1_1, eval_perfect1_12, eval_perfect1_13, eval_perfect1_14, eval_perfect1_15, eval_perfect1_16, eval_perfect1_17, eval_perfect1_2, eval_perfect1_3, eval_perfect1_4, eval_perfect1_5, eval_perfect1_6, eval_perfect1_7, eval_perfect1_8, eval_perfect1_bb0_in, eval_perfect1_bb1_in, eval_perfect1_bb2_in, eval_perfect1_bb3_in, eval_perfect1_bb4_in, eval_perfect1_bb5_in, eval_perfect1_bb6_in, eval_perfect1_bb7_in, eval_perfect1_start, eval_perfect1_stop
Transitions:
t₂: eval_perfect1_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₄: eval_perfect1_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 2 ≤ X₄
t₃: eval_perfect1_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₄ ≤ 1
t₁₉: eval_perfect1_12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₂₀: eval_perfect1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_14(X₂, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ X₆ ∧ X₆ ≤ 0
t₂₁: eval_perfect1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_14(X₇, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ 0
t₂₂: eval_perfect1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_14(X₇, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₆
t₂₃: eval_perfect1_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₂₄: eval_perfect1_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_16(X₀, X₁, X₂, X₅-1, X₄, X₅, X₆, X₇)
t₂₅: eval_perfect1_16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₂₆: eval_perfect1_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₃, X₆, X₀)
t₆: eval_perfect1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₇: eval_perfect1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₈: eval_perfect1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₉: eval_perfect1_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_6(X₀, X₄-1, X₂, X₃, X₄, X₅, X₆, X₇)
t₁₀: eval_perfect1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁₁: eval_perfect1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁₂: eval_perfect1_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₁, X₆, X₄)
t₁: eval_perfect1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₅: eval_perfect1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁₃: eval_perfect1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₄, X₇) :|: 1 ≤ X₅
t₁₄: eval_perfect1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₅ ≤ 0
t₁₅: eval_perfect1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₅ ≤ X₆
t₁₆: eval_perfect1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ X₅
t₁₇: eval_perfect1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆-X₅, X₇)
t₁₈: eval_perfect1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_12(X₀, X₁, X₇-X₅, X₃, X₄, X₅, X₆, X₇)
t₂₇: eval_perfect1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₇ ≤ 0
t₂₈: eval_perfect1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₇
t₂₉: eval_perfect1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ X₇ ∧ X₇ ≤ 0
t₃₀: eval_perfect1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₀: eval_perfect1_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)

Preprocessing

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ 1+X₃ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ 1+X₁ for location eval_perfect1_17

Found invariant 2 ≤ X₄ for location eval_perfect1_bb1_in

Found invariant 2 ≤ X₄ for location eval_perfect1_3

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_bb2_in

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_bb5_in

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ X₆ ≤ X₄ ∧ X₆ ≤ 1+X₁ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 2 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_bb4_in

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₇ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₁ for location eval_perfect1_12

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ 1+X₁ for location eval_perfect1_14

Found invariant X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_7

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ 1+X₁ for location eval_perfect1_15

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ X₆ ≤ X₄ ∧ X₆ ≤ 1+X₁ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_bb3_in

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_bb6_in

Found invariant 2 ≤ X₄ for location eval_perfect1_5

Found invariant X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_6

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ 1+X₃ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ 1+X₁ for location eval_perfect1_16

Found invariant X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_8

Found invariant 2 ≤ X₄ for location eval_perfect1_4

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₇ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₁ for location eval_perfect1_13

Found invariant 2 ≤ X₄ for location eval_perfect1_2

Problem after Preprocessing

Start: eval_perfect1_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: eval_perfect1_0, eval_perfect1_1, eval_perfect1_12, eval_perfect1_13, eval_perfect1_14, eval_perfect1_15, eval_perfect1_16, eval_perfect1_17, eval_perfect1_2, eval_perfect1_3, eval_perfect1_4, eval_perfect1_5, eval_perfect1_6, eval_perfect1_7, eval_perfect1_8, eval_perfect1_bb0_in, eval_perfect1_bb1_in, eval_perfect1_bb2_in, eval_perfect1_bb3_in, eval_perfect1_bb4_in, eval_perfect1_bb5_in, eval_perfect1_bb6_in, eval_perfect1_bb7_in, eval_perfect1_start, eval_perfect1_stop
Transitions:
t₂: eval_perfect1_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₄: eval_perfect1_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 2 ≤ X₄
t₃: eval_perfect1_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₄ ≤ 1
t₁₉: eval_perfect1_12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄
t₂₀: eval_perfect1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_14(X₂, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ X₆ ∧ X₆ ≤ 0 ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄
t₂₁: eval_perfect1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_14(X₇, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ 0 ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄
t₂₂: eval_perfect1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_14(X₇, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₆ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄
t₂₃: eval_perfect1_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 1+X₁ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄
t₂₄: eval_perfect1_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_16(X₀, X₁, X₂, X₅-1, X₄, X₅, X₆, X₇) :|: X₀ ≤ 1+X₁ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄
t₂₅: eval_perfect1_16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 1+X₁ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ X₇ ≤ X₄
t₂₆: eval_perfect1_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₃, X₆, X₀) :|: X₀ ≤ 1+X₁ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ X₇ ≤ X₄
t₆: eval_perfect1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 2 ≤ X₄
t₇: eval_perfect1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 2 ≤ X₄
t₈: eval_perfect1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 2 ≤ X₄
t₉: eval_perfect1_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_6(X₀, X₄-1, X₂, X₃, X₄, X₅, X₆, X₇) :|: 2 ≤ X₄
t₁₀: eval_perfect1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄
t₁₁: eval_perfect1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄
t₁₂: eval_perfect1_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₁, X₆, X₄) :|: X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄
t₁: eval_perfect1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₅: eval_perfect1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 2 ≤ X₄
t₁₃: eval_perfect1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₄, X₇) :|: 1 ≤ X₅ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₁+X₄ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄ ∧ 0 ≤ X₅
t₁₄: eval_perfect1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₅ ≤ 0 ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₁+X₄ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄ ∧ 0 ≤ X₅
t₁₅: eval_perfect1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₅ ≤ X₆ ∧ X₄ ≤ 1+X₁ ∧ X₆ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₄ ∧ X₇ ≤ X₄
t₁₆: eval_perfect1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ X₅ ∧ X₄ ≤ 1+X₁ ∧ X₆ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₄ ∧ X₇ ≤ X₄
t₁₇: eval_perfect1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆-X₅, X₇) :|: X₄ ≤ 1+X₁ ∧ X₆ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₄ ∧ X₇ ≤ X₄ ∧ X₅ ≤ X₆
t₁₈: eval_perfect1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_12(X₀, X₁, X₇-X₅, X₃, X₄, X₅, X₆, X₇) :|: X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄
t₂₇: eval_perfect1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₇ ≤ 0 ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ X₇ ≤ X₄ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0
t₂₈: eval_perfect1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₇ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ X₇ ≤ X₄ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0
t₂₉: eval_perfect1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ X₇ ∧ X₇ ≤ 0 ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ X₇ ≤ X₄ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0
t₃₀: eval_perfect1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₀: eval_perfect1_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)

MPRF for transition t₁₃: eval_perfect1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₄, X₇) :|: 1 ≤ X₅ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₁+X₄ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₄+1 {O(n)}

MPRF:

• eval_perfect1_12: [X₅]
• eval_perfect1_13: [X₅]
• eval_perfect1_14: [X₅]
• eval_perfect1_15: [X₅]
• eval_perfect1_16: [1+X₃]
• eval_perfect1_17: [X₅]
• eval_perfect1_bb2_in: [1+X₅]
• eval_perfect1_bb3_in: [X₅]
• eval_perfect1_bb4_in: [X₅]
• eval_perfect1_bb5_in: [X₅]

MPRF for transition t₁₆: eval_perfect1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ X₅ ∧ X₄ ≤ 1+X₁ ∧ X₆ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₄ ∧ X₇ ≤ X₄ of depth 1:

new bound:

2⋅X₄+1 {O(n)}

MPRF:

• eval_perfect1_12: [X₄+X₅-1]
• eval_perfect1_13: [X₁+X₅]
• eval_perfect1_14: [X₄+X₅-1]
• eval_perfect1_15: [X₄+X₅-1]
• eval_perfect1_16: [X₃+X₄]
• eval_perfect1_17: [X₃+X₄]
• eval_perfect1_bb2_in: [1+X₁+X₅]
• eval_perfect1_bb3_in: [X₄+X₅]
• eval_perfect1_bb4_in: [1+X₁+X₅]
• eval_perfect1_bb5_in: [X₁+X₅]

MPRF for transition t₁₈: eval_perfect1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_12(X₀, X₁, X₇-X₅, X₃, X₄, X₅, X₆, X₇) :|: X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄ of depth 1:

new bound:

X₄ {O(n)}

MPRF:

• eval_perfect1_12: [X₅-1]
• eval_perfect1_13: [X₅-1]
• eval_perfect1_14: [X₅-1]
• eval_perfect1_15: [X₅-1]
• eval_perfect1_16: [X₅-1]
• eval_perfect1_17: [X₅-1]
• eval_perfect1_bb2_in: [X₅]
• eval_perfect1_bb3_in: [X₅]
• eval_perfect1_bb4_in: [X₅]
• eval_perfect1_bb5_in: [X₅]

MPRF for transition t₁₉: eval_perfect1_12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄ of depth 1:

new bound:

X₄+1 {O(n)}

MPRF:

• eval_perfect1_12: [1+X₅]
• eval_perfect1_13: [X₅]
• eval_perfect1_14: [X₅]
• eval_perfect1_15: [X₅]
• eval_perfect1_16: [X₅]
• eval_perfect1_17: [X₅]
• eval_perfect1_bb2_in: [1+X₅]
• eval_perfect1_bb3_in: [1+X₅]
• eval_perfect1_bb4_in: [1+X₅]
• eval_perfect1_bb5_in: [1+X₅]

MPRF for transition t₂₀: eval_perfect1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_14(X₂, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ X₆ ∧ X₆ ≤ 0 ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄ of depth 1:

new bound:

X₄ {O(n)}

MPRF:

• eval_perfect1_12: [X₄+X₅-1-X₁]
• eval_perfect1_13: [X₅]
• eval_perfect1_14: [X₅-1]
• eval_perfect1_15: [X₅-1]
• eval_perfect1_16: [X₃]
• eval_perfect1_17: [X₃]
• eval_perfect1_bb2_in: [X₅]
• eval_perfect1_bb3_in: [X₅]
• eval_perfect1_bb4_in: [X₅]
• eval_perfect1_bb5_in: [X₅]

MPRF for transition t₂₁: eval_perfect1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_14(X₇, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ 0 ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄ of depth 1:

new bound:

X₄+1 {O(n)}

MPRF:

• eval_perfect1_12: [1+X₅]
• eval_perfect1_13: [1+X₅]
• eval_perfect1_14: [X₅]
• eval_perfect1_15: [X₅]
• eval_perfect1_16: [1+X₃]
• eval_perfect1_17: [1+X₃]
• eval_perfect1_bb2_in: [1+X₅]
• eval_perfect1_bb3_in: [1+X₅]
• eval_perfect1_bb4_in: [X₄+X₅-X₁]
• eval_perfect1_bb5_in: [1+X₅]

MPRF for transition t₂₂: eval_perfect1_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_14(X₇, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₆ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄ of depth 1:

new bound:

X₄ {O(n)}

MPRF:

• eval_perfect1_12: [X₅]
• eval_perfect1_13: [X₅]
• eval_perfect1_14: [X₅-1]
• eval_perfect1_15: [X₅-1]
• eval_perfect1_16: [X₅-1]
• eval_perfect1_17: [X₅-1]
• eval_perfect1_bb2_in: [X₅]
• eval_perfect1_bb3_in: [X₅]
• eval_perfect1_bb4_in: [X₅]
• eval_perfect1_bb5_in: [X₅]

MPRF for transition t₂₃: eval_perfect1_14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 1+X₁ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄ of depth 1:

new bound:

X₄ {O(n)}

MPRF:

• eval_perfect1_12: [X₅]
• eval_perfect1_13: [X₅]
• eval_perfect1_14: [X₅]
• eval_perfect1_15: [X₅-1]
• eval_perfect1_16: [X₃]
• eval_perfect1_17: [X₃]
• eval_perfect1_bb2_in: [X₅]
• eval_perfect1_bb3_in: [X₅]
• eval_perfect1_bb4_in: [X₅]
• eval_perfect1_bb5_in: [X₅]

MPRF for transition t₂₄: eval_perfect1_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_16(X₀, X₁, X₂, X₅-1, X₄, X₅, X₆, X₇) :|: X₀ ≤ 1+X₁ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₇ ≤ X₄ of depth 1:

new bound:

X₄ {O(n)}

MPRF:

• eval_perfect1_12: [X₅]
• eval_perfect1_13: [X₅]
• eval_perfect1_14: [X₅]
• eval_perfect1_15: [X₅]
• eval_perfect1_16: [X₅-1]
• eval_perfect1_17: [X₃]
• eval_perfect1_bb2_in: [X₅]
• eval_perfect1_bb3_in: [X₅]
• eval_perfect1_bb4_in: [X₅]
• eval_perfect1_bb5_in: [X₅]

MPRF for transition t₂₅: eval_perfect1_16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 1+X₁ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ X₇ ≤ X₄ of depth 1:

new bound:

X₄ {O(n)}

MPRF:

• eval_perfect1_12: [X₅]
• eval_perfect1_13: [X₅]
• eval_perfect1_14: [X₅]
• eval_perfect1_15: [X₅]
• eval_perfect1_16: [1+X₃]
• eval_perfect1_17: [X₃]
• eval_perfect1_bb2_in: [X₅]
• eval_perfect1_bb3_in: [X₅]
• eval_perfect1_bb4_in: [X₅]
• eval_perfect1_bb5_in: [X₅]

MPRF for transition t₂₆: eval_perfect1_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₃, X₆, X₀) :|: X₀ ≤ 1+X₁ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ X₇ ≤ X₄ of depth 1:

new bound:

X₄ {O(n)}

MPRF:

• eval_perfect1_12: [X₅]
• eval_perfect1_13: [X₅]
• eval_perfect1_14: [X₅]
• eval_perfect1_15: [X₅]
• eval_perfect1_16: [X₅]
• eval_perfect1_17: [1+X₃]
• eval_perfect1_bb2_in: [X₅]
• eval_perfect1_bb3_in: [X₅]
• eval_perfect1_bb4_in: [X₅]
• eval_perfect1_bb5_in: [X₅]

MPRF for transition t₁₅: eval_perfect1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₅ ≤ X₆ ∧ X₄ ≤ 1+X₁ ∧ X₆ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₄ ∧ X₇ ≤ X₄ of depth 1:

new bound:

X₄⋅X₄+2⋅X₄+1 {O(n^2)}

MPRF:

• eval_perfect1_12: [X₆-X₅]
• eval_perfect1_13: [X₆-X₅]
• eval_perfect1_14: [X₆-X₅]
• eval_perfect1_15: [X₆-X₅]
• eval_perfect1_16: [X₆-X₅]
• eval_perfect1_17: [X₆-X₅]
• eval_perfect1_bb2_in: [1+X₄]
• eval_perfect1_bb3_in: [1+X₆-X₅]
• eval_perfect1_bb4_in: [1+X₆-2⋅X₅]
• eval_perfect1_bb5_in: [X₆-X₅]

MPRF for transition t₁₇: eval_perfect1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_perfect1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆-X₅, X₇) :|: X₄ ≤ 1+X₁ ∧ X₆ ≤ 1+X₁ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₄ ∧ X₇ ≤ X₄ ∧ X₅ ≤ X₆ of depth 1:

new bound:

X₄⋅X₄+X₄ {O(n^2)}

MPRF:

• eval_perfect1_12: [X₆]
• eval_perfect1_13: [X₆]
• eval_perfect1_14: [X₆]
• eval_perfect1_15: [X₆]
• eval_perfect1_16: [X₆]
• eval_perfect1_17: [X₆]
• eval_perfect1_bb2_in: [X₄]
• eval_perfect1_bb3_in: [X₆]
• eval_perfect1_bb4_in: [X₆]
• eval_perfect1_bb5_in: [X₆]

Cut unsatisfiable transition [t₁₆: eval_perfect1_bb3_in→eval_perfect1_bb5_in; t₁₅₅: eval_perfect1_bb3_in→eval_perfect1_bb5_in]

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ 1+X₃ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ 1+X₁ for location eval_perfect1_17

Found invariant 2 ≤ X₄ for location eval_perfect1_bb1_in

Found invariant 2 ≤ X₄ for location eval_perfect1_3

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_bb2_in

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₆ ≤ X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 2 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_bb4_in_v2

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_bb5_in

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₆ ≤ X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_bb3_in_v1

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₇ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₁ for location eval_perfect1_12

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ 1+X₁ for location eval_perfect1_14

Found invariant X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_7

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ 1+X₁ for location eval_perfect1_15

Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ X₆ ≤ X₄ ∧ X₆ ≤ 1+X₁ ∧ 2 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 3 ≤ X₁+X₆ ∧ 1+X₁ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_bb3_in

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_bb6_in

Found invariant 2 ≤ X₄ for location eval_perfect1_5

Found invariant X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_6

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ 1+X₃ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ 1+X₁ for location eval_perfect1_16

Found invariant X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_8

Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ X₆ ≤ X₄ ∧ X₆ ≤ 1+X₁ ∧ 2 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 3 ≤ X₁+X₆ ∧ 1+X₁ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₁ for location eval_perfect1_bb4_in_v1

Found invariant 2 ≤ X₄ for location eval_perfect1_4

Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₇ ∧ 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₁ for location eval_perfect1_13

Found invariant 2 ≤ X₄ for location eval_perfect1_2

Cut unsatisfiable transition [t₂₁: eval_perfect1_13→eval_perfect1_14]

All Bounds

Timebounds

Overall timebound:2⋅X₄⋅X₄+15⋅X₄+23 {O(n^2)}
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: 1 {O(1)}
t₁₃: X₄+1 {O(n)}
t₁₄: 1 {O(1)}
t₁₅: X₄⋅X₄+2⋅X₄+1 {O(n^2)}
t₁₆: 2⋅X₄+1 {O(n)}
t₁₇: X₄⋅X₄+X₄ {O(n^2)}
t₁₈: X₄ {O(n)}
t₁₉: X₄+1 {O(n)}
t₂₀: X₄ {O(n)}
t₂₁: X₄+1 {O(n)}
t₂₂: X₄ {O(n)}
t₂₃: X₄ {O(n)}
t₂₄: X₄ {O(n)}
t₂₅: X₄ {O(n)}
t₂₆: X₄ {O(n)}
t₂₇: 1 {O(1)}
t₂₈: 1 {O(1)}
t₂₉: 1 {O(1)}
t₃₀: 1 {O(1)}

Costbounds

Overall costbound: 2⋅X₄⋅X₄+15⋅X₄+23 {O(n^2)}
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: 1 {O(1)}
t₁₃: X₄+1 {O(n)}
t₁₄: 1 {O(1)}
t₁₅: X₄⋅X₄+2⋅X₄+1 {O(n^2)}
t₁₆: 2⋅X₄+1 {O(n)}
t₁₇: X₄⋅X₄+X₄ {O(n^2)}
t₁₈: X₄ {O(n)}
t₁₉: X₄+1 {O(n)}
t₂₀: X₄ {O(n)}
t₂₁: X₄+1 {O(n)}
t₂₂: X₄ {O(n)}
t₂₃: X₄ {O(n)}
t₂₄: X₄ {O(n)}
t₂₅: X₄ {O(n)}
t₂₆: X₄ {O(n)}
t₂₇: 1 {O(1)}
t₂₈: 1 {O(1)}
t₂₉: 1 {O(1)}
t₃₀: 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: X₄ {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: X₄ {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: X₄ {O(n)}
t₁₁, X₂: X₂ {O(n)}
t₁₁, X₃: X₃ {O(n)}
t₁₁, X₄: X₄ {O(n)}
t₁₁, X₅: X₅ {O(n)}
t₁₁, X₆: X₆ {O(n)}
t₁₁, X₇: X₇ {O(n)}
t₁₂, X₀: X₀ {O(n)}
t₁₂, X₁: X₄ {O(n)}
t₁₂, X₂: X₂ {O(n)}
t₁₂, X₃: X₃ {O(n)}
t₁₂, X₄: X₄ {O(n)}
t₁₂, X₅: X₄ {O(n)}
t₁₂, X₆: X₆ {O(n)}
t₁₂, X₇: X₄ {O(n)}
t₁₃, X₀: X₄⋅X₄+2⋅X₄+X₀ {O(n^2)}
t₁₃, X₁: X₄ {O(n)}
t₁₃, X₂: 3⋅X₄⋅X₄+6⋅X₄+X₂ {O(n^2)}
t₁₃, X₃: X₃+X₄ {O(n)}
t₁₃, X₄: X₄ {O(n)}
t₁₃, X₅: X₄ {O(n)}
t₁₃, X₆: 2⋅X₄ {O(n)}
t₁₃, X₇: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₁₄, X₀: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₁₄, X₁: X₄ {O(n)}
t₁₄, X₂: 3⋅X₄⋅X₄+6⋅X₄ {O(n^2)}
t₁₄, X₃: X₄ {O(n)}
t₁₄, X₄: X₄ {O(n)}
t₁₄, X₅: 0 {O(1)}
t₁₄, X₆: 4⋅X₄ {O(n)}
t₁₄, X₇: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₁₅, X₀: X₄⋅X₄+2⋅X₄+X₀ {O(n^2)}
t₁₅, X₁: X₄ {O(n)}
t₁₅, X₂: 3⋅X₄⋅X₄+6⋅X₄+X₂ {O(n^2)}
t₁₅, X₃: X₃+X₄ {O(n)}
t₁₅, X₄: X₄ {O(n)}
t₁₅, X₅: X₄ {O(n)}
t₁₅, X₆: 2⋅X₄ {O(n)}
t₁₅, X₇: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₁₆, X₀: X₄⋅X₄+2⋅X₄+X₀ {O(n^2)}
t₁₆, X₁: X₄ {O(n)}
t₁₆, X₂: 3⋅X₄⋅X₄+6⋅X₄+X₂ {O(n^2)}
t₁₆, X₃: X₃+X₄ {O(n)}
t₁₆, X₄: X₄ {O(n)}
t₁₆, X₅: X₄ {O(n)}
t₁₆, X₆: 2⋅X₄ {O(n)}
t₁₆, X₇: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₁₇, X₀: X₄⋅X₄+2⋅X₄+X₀ {O(n^2)}
t₁₇, X₁: X₄ {O(n)}
t₁₇, X₂: 3⋅X₄⋅X₄+6⋅X₄+X₂ {O(n^2)}
t₁₇, X₃: X₃+X₄ {O(n)}
t₁₇, X₄: X₄ {O(n)}
t₁₇, X₅: X₄ {O(n)}
t₁₇, X₆: 2⋅X₄ {O(n)}
t₁₇, X₇: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₁₈, X₀: X₄⋅X₄+2⋅X₄+X₀ {O(n^2)}
t₁₈, X₁: X₄ {O(n)}
t₁₈, X₂: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₁₈, X₃: X₃+X₄ {O(n)}
t₁₈, X₄: X₄ {O(n)}
t₁₈, X₅: X₄ {O(n)}
t₁₈, X₆: 2⋅X₄ {O(n)}
t₁₈, X₇: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₁₉, X₀: X₄⋅X₄+2⋅X₄+X₀ {O(n^2)}
t₁₉, X₁: X₄ {O(n)}
t₁₉, X₂: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₁₉, X₃: X₃+X₄ {O(n)}
t₁₉, X₄: X₄ {O(n)}
t₁₉, X₅: X₄ {O(n)}
t₁₉, X₆: 2⋅X₄ {O(n)}
t₁₉, X₇: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₀, X₀: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₀, X₁: X₄ {O(n)}
t₂₀, X₂: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₀, X₃: X₃+X₄ {O(n)}
t₂₀, X₄: X₄ {O(n)}
t₂₀, X₅: X₄ {O(n)}
t₂₀, X₆: 0 {O(1)}
t₂₀, X₇: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₁, X₀: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₁, X₁: X₄ {O(n)}
t₂₁, X₂: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₁, X₃: X₃+X₄ {O(n)}
t₂₁, X₄: X₄ {O(n)}
t₂₁, X₅: X₄ {O(n)}
t₂₁, X₆: 2⋅X₄ {O(n)}
t₂₁, X₇: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₂, X₀: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₂, X₁: X₄ {O(n)}
t₂₂, X₂: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₂, X₃: X₃+X₄ {O(n)}
t₂₂, X₄: X₄ {O(n)}
t₂₂, X₅: X₄ {O(n)}
t₂₂, X₆: 2⋅X₄ {O(n)}
t₂₂, X₇: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₃, X₀: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₃, X₁: X₄ {O(n)}
t₂₃, X₂: 3⋅X₄⋅X₄+6⋅X₄ {O(n^2)}
t₂₃, X₃: 3⋅X₃+3⋅X₄ {O(n)}
t₂₃, X₄: X₄ {O(n)}
t₂₃, X₅: X₄ {O(n)}
t₂₃, X₆: 4⋅X₄ {O(n)}
t₂₃, X₇: 3⋅X₄⋅X₄+6⋅X₄ {O(n^2)}
t₂₄, X₀: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₄, X₁: X₄ {O(n)}
t₂₄, X₂: 3⋅X₄⋅X₄+6⋅X₄ {O(n^2)}
t₂₄, X₃: X₄ {O(n)}
t₂₄, X₄: X₄ {O(n)}
t₂₄, X₅: X₄ {O(n)}
t₂₄, X₆: 4⋅X₄ {O(n)}
t₂₄, X₇: 3⋅X₄⋅X₄+6⋅X₄ {O(n^2)}
t₂₅, X₀: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₅, X₁: X₄ {O(n)}
t₂₅, X₂: 3⋅X₄⋅X₄+6⋅X₄ {O(n^2)}
t₂₅, X₃: X₄ {O(n)}
t₂₅, X₄: X₄ {O(n)}
t₂₅, X₅: X₄ {O(n)}
t₂₅, X₆: 4⋅X₄ {O(n)}
t₂₅, X₇: 3⋅X₄⋅X₄+6⋅X₄ {O(n^2)}
t₂₆, X₀: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₆, X₁: X₄ {O(n)}
t₂₆, X₂: 3⋅X₄⋅X₄+6⋅X₄ {O(n^2)}
t₂₆, X₃: X₄ {O(n)}
t₂₆, X₄: X₄ {O(n)}
t₂₆, X₅: X₄ {O(n)}
t₂₆, X₆: 4⋅X₄ {O(n)}
t₂₆, X₇: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₇, X₀: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₇, X₁: X₄ {O(n)}
t₂₇, X₂: 3⋅X₄⋅X₄+6⋅X₄ {O(n^2)}
t₂₇, X₃: X₄ {O(n)}
t₂₇, X₄: X₄ {O(n)}
t₂₇, X₅: 0 {O(1)}
t₂₇, X₆: 4⋅X₄ {O(n)}
t₂₇, X₇: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₈, X₀: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₈, X₁: X₄ {O(n)}
t₂₈, X₂: 3⋅X₄⋅X₄+6⋅X₄ {O(n^2)}
t₂₈, X₃: X₄ {O(n)}
t₂₈, X₄: X₄ {O(n)}
t₂₈, X₅: 0 {O(1)}
t₂₈, X₆: 4⋅X₄ {O(n)}
t₂₈, X₇: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₉, X₀: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₂₉, X₁: X₄ {O(n)}
t₂₉, X₂: 3⋅X₄⋅X₄+6⋅X₄ {O(n^2)}
t₂₉, X₃: X₄ {O(n)}
t₂₉, X₄: X₄ {O(n)}
t₂₉, X₅: 0 {O(1)}
t₂₉, X₆: 4⋅X₄ {O(n)}
t₂₉, X₇: 0 {O(1)}
t₃₀, X₀: 3⋅X₄⋅X₄+6⋅X₄+X₀ {O(n^2)}
t₃₀, X₁: 3⋅X₄+X₁ {O(n)}
t₃₀, X₂: 9⋅X₄⋅X₄+18⋅X₄+X₂ {O(n^2)}
t₃₀, X₃: 3⋅X₄+X₃ {O(n)}
t₃₀, X₄: 4⋅X₄ {O(n)}
t₃₀, X₅: X₅ {O(n)}
t₃₀, X₆: 12⋅X₄+X₆ {O(n)}
t₃₀, X₇: 2⋅X₄⋅X₄+4⋅X₄+X₇ {O(n^2)}