Initial Problem

Start: eval_aaron3_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉
Temp_Vars: nondef_0, nondef_1
Locations: eval_aaron3_0, eval_aaron3_1, eval_aaron3_10, eval_aaron3_12, eval_aaron3_13, eval_aaron3_2, eval_aaron3_3, eval_aaron3_4, eval_aaron3_5, eval_aaron3_6, eval_aaron3_7, eval_aaron3_8, eval_aaron3_9, eval_aaron3_bb0_in, eval_aaron3_bb1_in, eval_aaron3_bb2_in, eval_aaron3_bb3_in, eval_aaron3_bb4_in, eval_aaron3_bb5_in, eval_aaron3_start, eval_aaron3_stop
Transitions:
t₂: eval_aaron3_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₃: eval_aaron3_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₁₅: eval_aaron3_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₃
t₁₆: eval_aaron3_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₃ ≤ 0
t₁₈: eval_aaron3_12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_13(X₀, X₁, X₂, X₃, X₄, nondef_1, X₆, X₇, X₈, X₉)
t₂₀: eval_aaron3_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb1_in(X₅, X₁, X₄, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₅ ≤ X₀+X₄
t₁₉: eval_aaron3_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₀+X₄ ≤ X₅
t₄: eval_aaron3_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₅: eval_aaron3_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₆: eval_aaron3_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₇: eval_aaron3_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₈: eval_aaron3_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₉: eval_aaron3_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₁₀: eval_aaron3_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb1_in(X₇, X₈, X₉, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₁₄: eval_aaron3_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_10(X₀, X₁, X₂, nondef_0, X₄, X₅, X₆, X₇, X₈, X₉)
t₁: eval_aaron3_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₁₁: eval_aaron3_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ X₀
t₁₂: eval_aaron3_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₀ ≤ X₁
t₁₃: eval_aaron3_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₁₇: eval_aaron3_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_12(X₀, X₁, X₂, X₃, X₂-1, X₅, X₆, X₇, X₈, X₉)
t₂₁: eval_aaron3_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb1_in(X₀, 1+X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₂₂: eval_aaron3_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₀: eval_aaron3_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)

Preprocessing

Eliminate variables [X₆] that do not contribute to the problem

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ for location eval_aaron3_bb5_in

Found invariant 1+X₄ ≤ X₈ ∧ X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1+X₄ ≤ X₂ ∧ X₂ ≤ 1+X₄ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_aaron3_12

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_aaron3_bb3_in

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ for location eval_aaron3_stop

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_bb2_in

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_9

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ for location eval_aaron3_bb1_in

Found invariant 1+X₄ ≤ X₈ ∧ X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1+X₄ ≤ X₂ ∧ X₂ ≤ 1+X₄ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_aaron3_13

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_aaron3_bb4_in

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_10

Problem after Preprocessing

Start: eval_aaron3_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars: nondef_0, nondef_1
Locations: eval_aaron3_0, eval_aaron3_1, eval_aaron3_10, eval_aaron3_12, eval_aaron3_13, eval_aaron3_2, eval_aaron3_3, eval_aaron3_4, eval_aaron3_5, eval_aaron3_6, eval_aaron3_7, eval_aaron3_8, eval_aaron3_9, eval_aaron3_bb0_in, eval_aaron3_bb1_in, eval_aaron3_bb2_in, eval_aaron3_bb3_in, eval_aaron3_bb4_in, eval_aaron3_bb5_in, eval_aaron3_start, eval_aaron3_stop
Transitions:
t₄₅: eval_aaron3_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₄₆: eval_aaron3_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₄₇: eval_aaron3_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₄₈: eval_aaron3_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₃ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₄₉: eval_aaron3_12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_13(X₀, X₁, X₂, X₃, X₄, nondef_1, X₆, X₇, X₈) :|: X₂ ≤ 1+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1+X₄ ≤ X₈ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₅₀: eval_aaron3_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb1_in(X₅, X₁, X₄, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₅ ≤ X₀+X₄ ∧ X₂ ≤ 1+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1+X₄ ≤ X₈ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₅₁: eval_aaron3_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀+X₄ ≤ X₅ ∧ X₂ ≤ 1+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1+X₄ ≤ X₈ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₅₂: eval_aaron3_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₅₃: eval_aaron3_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₅₄: eval_aaron3_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₅₅: eval_aaron3_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₅₆: eval_aaron3_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₅₇: eval_aaron3_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₅₈: eval_aaron3_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb1_in(X₆, X₇, X₈, X₃, X₄, X₅, X₆, X₇, X₈)
t₅₉: eval_aaron3_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_10(X₀, X₁, X₂, nondef_0, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₆₀: eval_aaron3_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₆₁: eval_aaron3_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₆₂: eval_aaron3_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀ ≤ X₁ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₆₃: eval_aaron3_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₆₄: eval_aaron3_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_12(X₀, X₁, X₂, X₃, X₂-1, X₅, X₆, X₇, X₈) :|: 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₆₅: eval_aaron3_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb1_in(X₀, 1+X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈ ∧ X₃ ≤ 0
t₆₆: eval_aaron3_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₆₇: eval_aaron3_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)

MPRF for transition t₄₇: eval_aaron3_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈ of depth 2:

new bound:

8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}

MPRF:

• eval_aaron3_10: [X₂; X₀-X₇]
• eval_aaron3_12: [X₂-1; X₀+X₄-X₇]
• eval_aaron3_13: [X₄; X₀+X₄-X₇]
• eval_aaron3_9: [X₂; X₀-X₇]
• eval_aaron3_bb1_in: [X₂; X₀-X₇]
• eval_aaron3_bb2_in: [X₂; X₀-X₇]
• eval_aaron3_bb3_in: [X₂-1; X₀+X₂-1-X₇]
• eval_aaron3_bb4_in: [X₂; X₀-X₇]

MPRF for transition t₄₉: eval_aaron3_12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_13(X₀, X₁, X₂, X₃, X₄, nondef_1, X₆, X₇, X₈) :|: X₂ ≤ 1+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1+X₄ ≤ X₈ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈ of depth 2:

new bound:

8⋅X₆+8⋅X₇+8⋅X₈+9 {O(n)}

MPRF:

• eval_aaron3_10: [1+X₂; X₀-X₇]
• eval_aaron3_12: [1+X₂; X₀-X₇]
• eval_aaron3_13: [1+X₄; X₀+X₂-X₇]
• eval_aaron3_9: [1+X₂; X₀-X₇]
• eval_aaron3_bb1_in: [1+X₂; X₀-X₇]
• eval_aaron3_bb2_in: [1+X₂; X₀-X₇]
• eval_aaron3_bb3_in: [1+X₂; X₀-X₇]
• eval_aaron3_bb4_in: [1+X₂; X₀-X₇]

MPRF for transition t₅₀: eval_aaron3_13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb1_in(X₅, X₁, X₄, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₅ ≤ X₀+X₄ ∧ X₂ ≤ 1+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1+X₄ ≤ X₈ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈ of depth 2:

new bound:

8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}

MPRF:

• eval_aaron3_10: [X₂; X₀-X₇]
• eval_aaron3_12: [1+X₄; X₀-X₇]
• eval_aaron3_13: [X₂; X₀-X₇]
• eval_aaron3_9: [X₂; X₀-X₇]
• eval_aaron3_bb1_in: [X₂; X₀-X₇]
• eval_aaron3_bb2_in: [X₂; X₀-X₇]
• eval_aaron3_bb3_in: [X₂; X₀-X₇]
• eval_aaron3_bb4_in: [X₂; X₀-X₇]

MPRF for transition t₆₄: eval_aaron3_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_12(X₀, X₁, X₂, X₃, X₂-1, X₅, X₆, X₇, X₈) :|: 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈ of depth 2:

new bound:

8⋅X₆+8⋅X₇+8⋅X₈+9 {O(n)}

MPRF:

• eval_aaron3_10: [1+X₂; X₀+X₈-X₁-X₂]
• eval_aaron3_12: [1+X₄; X₀+X₈-X₁]
• eval_aaron3_13: [1+X₄; X₀+X₈-X₁]
• eval_aaron3_9: [1+X₂; X₀+X₈-X₁-X₂]
• eval_aaron3_bb1_in: [1+X₂; X₀+X₈-X₁-X₂]
• eval_aaron3_bb2_in: [1+X₂; X₀+X₈-X₁-X₂]
• eval_aaron3_bb3_in: [1+X₂; X₀+X₈-X₁-X₂]
• eval_aaron3_bb4_in: [1+X₂; X₀+X₈-X₁-X₂]

Cut unreachable locations [eval_aaron3_10] from the program graph

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ for location eval_aaron3_bb5_in

Found invariant 1+X₄ ≤ X₈ ∧ X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1+X₄ ≤ X₂ ∧ X₂ ≤ 1+X₄ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_aaron3_12

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_aaron3_bb3_in

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ for location eval_aaron3_stop

Found invariant X₂ ≤ X₈ ∧ 1+X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₃ ≤ 0 ∧ X₁ ≤ 1+X₀ for location eval_aaron3_bb1_in_v1

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_bb2_in_v1

Found invariant X₂ ≤ X₈ ∧ 1+X₇ ≤ X₁ ∧ 1+X₇ ≤ X₀ ∧ X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_aaron3_9_v2

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ for location eval_aaron3_bb1_in

Found invariant X₂ ≤ X₈ ∧ 1+X₇ ≤ X₁ ∧ 1+X₇ ≤ X₀ ∧ X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_aaron3_bb4_in_v2

Found invariant 1+X₄ ≤ X₈ ∧ X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1+X₄ ≤ X₂ ∧ X₂ ≤ 1+X₄ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_aaron3_13

Found invariant X₂ ≤ X₈ ∧ 1+X₇ ≤ X₁ ∧ 1+X₇ ≤ X₀ ∧ X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_aaron3_bb2_in_v2

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_aaron3_bb4_in_v1

Found invariant X₂ ≤ X₈ ∧ 1+X₇ ≤ X₁ ∧ 1+X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_10_v2

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_9_v1

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_10_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₄₅: 1 {O(1)}
t₄₆: 1 {O(1)}
t₄₇: 8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}
t₄₈: inf {Infinity}
t₄₉: 8⋅X₆+8⋅X₇+8⋅X₈+9 {O(n)}
t₅₀: 8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}
t₅₁: 1 {O(1)}
t₅₂: 1 {O(1)}
t₅₃: 1 {O(1)}
t₅₄: 1 {O(1)}
t₅₅: 1 {O(1)}
t₅₆: 1 {O(1)}
t₅₇: 1 {O(1)}
t₅₈: 1 {O(1)}
t₅₉: inf {Infinity}
t₆₀: 1 {O(1)}
t₆₁: inf {Infinity}
t₆₂: 1 {O(1)}
t₆₃: inf {Infinity}
t₆₄: 8⋅X₆+8⋅X₇+8⋅X₈+9 {O(n)}
t₆₅: inf {Infinity}
t₆₆: 1 {O(1)}
t₆₇: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₄₅: 1 {O(1)}
t₄₆: 1 {O(1)}
t₄₇: 8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}
t₄₈: inf {Infinity}
t₄₉: 8⋅X₆+8⋅X₇+8⋅X₈+9 {O(n)}
t₅₀: 8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}
t₅₁: 1 {O(1)}
t₅₂: 1 {O(1)}
t₅₃: 1 {O(1)}
t₅₄: 1 {O(1)}
t₅₅: 1 {O(1)}
t₅₆: 1 {O(1)}
t₅₇: 1 {O(1)}
t₅₈: 1 {O(1)}
t₅₉: inf {Infinity}
t₆₀: 1 {O(1)}
t₆₁: inf {Infinity}
t₆₂: 1 {O(1)}
t₆₃: inf {Infinity}
t₆₄: 8⋅X₆+8⋅X₇+8⋅X₈+9 {O(n)}
t₆₅: inf {Infinity}
t₆₆: 1 {O(1)}
t₆₇: 1 {O(1)}

Sizebounds

t₄₅, X₀: X₀ {O(n)}
t₄₅, X₁: X₁ {O(n)}
t₄₅, X₂: X₂ {O(n)}
t₄₅, X₃: X₃ {O(n)}
t₄₅, X₄: X₄ {O(n)}
t₄₅, X₅: X₅ {O(n)}
t₄₅, X₆: X₆ {O(n)}
t₄₅, X₇: X₇ {O(n)}
t₄₅, X₈: X₈ {O(n)}
t₄₆, X₀: X₀ {O(n)}
t₄₆, X₁: X₁ {O(n)}
t₄₆, X₂: X₂ {O(n)}
t₄₆, X₃: X₃ {O(n)}
t₄₆, X₄: X₄ {O(n)}
t₄₆, X₅: X₅ {O(n)}
t₄₆, X₆: X₆ {O(n)}
t₄₆, X₇: X₇ {O(n)}
t₄₆, X₈: X₈ {O(n)}
t₄₇, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₄₇, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+X₄+2 {O(n)}
t₄₇, X₆: X₆ {O(n)}
t₄₇, X₇: X₇ {O(n)}
t₄₇, X₈: X₈ {O(n)}
t₄₈, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₄₈, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+X₄+2 {O(n)}
t₄₈, X₆: X₆ {O(n)}
t₄₈, X₇: X₇ {O(n)}
t₄₈, X₈: X₈ {O(n)}
t₄₉, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₄₉, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+2 {O(n)}
t₄₉, X₆: X₆ {O(n)}
t₄₉, X₇: X₇ {O(n)}
t₄₉, X₈: X₈ {O(n)}
t₅₀, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₅₀, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+2 {O(n)}
t₅₀, X₆: X₆ {O(n)}
t₅₀, X₇: X₇ {O(n)}
t₅₀, X₈: X₈ {O(n)}
t₅₁, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₅₁, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+2 {O(n)}
t₅₁, X₆: X₆ {O(n)}
t₅₁, X₇: X₇ {O(n)}
t₅₁, X₈: X₈ {O(n)}
t₅₂, X₀: X₀ {O(n)}
t₅₂, X₁: X₁ {O(n)}
t₅₂, X₂: X₂ {O(n)}
t₅₂, X₃: X₃ {O(n)}
t₅₂, X₄: X₄ {O(n)}
t₅₂, X₅: X₅ {O(n)}
t₅₂, X₆: X₆ {O(n)}
t₅₂, X₇: X₇ {O(n)}
t₅₂, X₈: X₈ {O(n)}
t₅₃, X₀: X₀ {O(n)}
t₅₃, X₁: X₁ {O(n)}
t₅₃, X₂: X₂ {O(n)}
t₅₃, X₃: X₃ {O(n)}
t₅₃, X₄: X₄ {O(n)}
t₅₃, X₅: X₅ {O(n)}
t₅₃, X₆: X₆ {O(n)}
t₅₃, X₇: X₇ {O(n)}
t₅₃, X₈: X₈ {O(n)}
t₅₄, X₀: X₀ {O(n)}
t₅₄, X₁: X₁ {O(n)}
t₅₄, X₂: X₂ {O(n)}
t₅₄, X₃: X₃ {O(n)}
t₅₄, X₄: X₄ {O(n)}
t₅₄, X₅: X₅ {O(n)}
t₅₄, X₆: X₆ {O(n)}
t₅₄, X₇: X₇ {O(n)}
t₅₄, X₈: X₈ {O(n)}
t₅₅, X₀: X₀ {O(n)}
t₅₅, X₁: X₁ {O(n)}
t₅₅, X₂: X₂ {O(n)}
t₅₅, X₃: X₃ {O(n)}
t₅₅, X₄: X₄ {O(n)}
t₅₅, X₅: X₅ {O(n)}
t₅₅, X₆: X₆ {O(n)}
t₅₅, X₇: X₇ {O(n)}
t₅₅, X₈: X₈ {O(n)}
t₅₆, X₀: X₀ {O(n)}
t₅₆, X₁: X₁ {O(n)}
t₅₆, X₂: X₂ {O(n)}
t₅₆, X₃: X₃ {O(n)}
t₅₆, X₄: X₄ {O(n)}
t₅₆, X₅: X₅ {O(n)}
t₅₆, X₆: X₆ {O(n)}
t₅₆, X₇: X₇ {O(n)}
t₅₆, X₈: X₈ {O(n)}
t₅₇, X₀: X₀ {O(n)}
t₅₇, X₁: X₁ {O(n)}
t₅₇, X₂: X₂ {O(n)}
t₅₇, X₃: X₃ {O(n)}
t₅₇, X₄: X₄ {O(n)}
t₅₇, X₅: X₅ {O(n)}
t₅₇, X₆: X₆ {O(n)}
t₅₇, X₇: X₇ {O(n)}
t₅₇, X₈: X₈ {O(n)}
t₅₈, X₀: X₆ {O(n)}
t₅₈, X₁: X₇ {O(n)}
t₅₈, X₂: X₈ {O(n)}
t₅₈, X₃: X₃ {O(n)}
t₅₈, X₄: X₄ {O(n)}
t₅₈, X₅: X₅ {O(n)}
t₅₈, X₆: X₆ {O(n)}
t₅₈, X₇: X₇ {O(n)}
t₅₈, X₈: X₈ {O(n)}
t₅₉, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₅₉, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+X₄+2 {O(n)}
t₅₉, X₆: X₆ {O(n)}
t₅₉, X₇: X₇ {O(n)}
t₅₉, X₈: X₈ {O(n)}
t₆₀, X₀: X₀ {O(n)}
t₆₀, X₁: X₁ {O(n)}
t₆₀, X₂: X₂ {O(n)}
t₆₀, X₃: X₃ {O(n)}
t₆₀, X₄: X₄ {O(n)}
t₆₀, X₅: X₅ {O(n)}
t₆₀, X₆: X₆ {O(n)}
t₆₀, X₇: X₇ {O(n)}
t₆₀, X₈: X₈ {O(n)}
t₆₁, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₆₁, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+X₄+2 {O(n)}
t₆₁, X₆: X₆ {O(n)}
t₆₁, X₇: X₇ {O(n)}
t₆₁, X₈: X₈ {O(n)}
t₆₂, X₂: 16⋅X₆+16⋅X₇+19⋅X₈+2 {O(n)}
t₆₂, X₄: 16⋅X₆+16⋅X₇+18⋅X₈+2⋅X₄+4 {O(n)}
t₆₂, X₆: 3⋅X₆ {O(n)}
t₆₂, X₇: 3⋅X₇ {O(n)}
t₆₂, X₈: 3⋅X₈ {O(n)}
t₆₃, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₆₃, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+X₄+2 {O(n)}
t₆₃, X₆: X₆ {O(n)}
t₆₃, X₇: X₇ {O(n)}
t₆₃, X₈: X₈ {O(n)}
t₆₄, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₆₄, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+2 {O(n)}
t₆₄, X₆: X₆ {O(n)}
t₆₄, X₇: X₇ {O(n)}
t₆₄, X₈: X₈ {O(n)}
t₆₅, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₆₅, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+X₄+2 {O(n)}
t₆₅, X₆: X₆ {O(n)}
t₆₅, X₇: X₇ {O(n)}
t₆₅, X₈: X₈ {O(n)}
t₆₆, X₂: 24⋅X₆+24⋅X₇+28⋅X₈+3 {O(n)}
t₆₆, X₄: 2⋅X₄+24⋅X₆+24⋅X₇+27⋅X₈+6 {O(n)}
t₆₆, X₆: 4⋅X₆ {O(n)}
t₆₆, X₇: 4⋅X₇ {O(n)}
t₆₆, X₈: 4⋅X₈ {O(n)}
t₆₇, X₀: X₀ {O(n)}
t₆₇, X₁: X₁ {O(n)}
t₆₇, X₂: X₂ {O(n)}
t₆₇, X₃: X₃ {O(n)}
t₆₇, X₄: X₄ {O(n)}
t₆₇, X₅: X₅ {O(n)}
t₆₇, X₆: X₆ {O(n)}
t₆₇, X₇: X₇ {O(n)}
t₆₇, X₈: X₈ {O(n)}