KoAT2 Proof Output

Initial Problem

Preprocessing

Found invariant X₆ ≤ X₂ ∧ 2 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ 4 ≤ X₂+X₆ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₀+X₆ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 3 ≤ X₂+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 3 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalfbb5in

Found invariant X₃ ≤ 0 for location evalfreturnin

Found invariant X₆ ≤ X₄ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalfbb3in

Found invariant 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location evalfbb6in

Found invariant 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1+X₁ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location evalfbb7in

Found invariant 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₀ ≤ X₄ ∧ 1 ≤ X₃ for location evalfbb9in

Found invariant X₃ ≤ 0 for location evalfstop

Found invariant X₆ ≤ X₂ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalfbb4in

Found invariant 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1 ≤ X₃ for location evalfbb8in

Problem after Preprocessing

Start: evalfstart
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: evalfbb10in, evalfbb3in, evalfbb4in, evalfbb5in, evalfbb6in, evalfbb7in, evalfbb8in, evalfbb9in, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
t₂: evalfbb10in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb8in(X₀, X₁, X₂, X₃, 1, X₅, X₆) :|: 1 ≤ X₃
t₃: evalfbb10in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfreturnin(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₃ ≤ 0
t₁₀: evalfbb3in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb4in(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1) :|: 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₀ ∧ X₆ ≤ X₀ ∧ X₃ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₂ ∧ X₃ ≤ X₅ ∧ X₆ ≤ X₄
t₈: evalfbb4in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb3in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₆ ≤ X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₂ ∧ X₃ ≤ X₅
t₉: evalfbb4in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb5in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₄ ≤ X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₂ ∧ X₃ ≤ X₅
t₁₁: evalfbb5in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb6in(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₂ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₆ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₂+X₄ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₅+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₂ ∧ X₃ ≤ X₅
t₆: evalfbb6in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb4in(X₀, X₁, X₂, X₃, X₄, X₅, X₂) :|: X₅ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₅
t₇: evalfbb6in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₁ ≤ X₅ ∧ 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₅
t₁₂: evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb8in(X₀, X₁, X₂, X₃, 1+X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1+X₁ ≤ X₅ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₅
t₄: evalfbb8in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb6in(X₀, X₁, X₂, X₃, X₄, X₃, X₆) :|: X₄ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄
t₅: evalfbb8in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb9in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₀ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄
t₁₃: evalfbb9in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb10in(X₀, X₁, X₂, X₃-1, X₄, X₅, X₆) :|: 1+X₀ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄
t₁: evalfentryin(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb10in(X₁, X₂, X₃, X₀, X₄, X₅, X₆)
t₁₄: evalfreturnin(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfstop(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₃ ≤ 0
t₀: evalfstart(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfentryin(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

MPRF for transition t₂: evalfbb10in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb8in(X₀, X₁, X₂, X₃, 1, X₅, X₆) :|: 1 ≤ X₃ of depth 1:

new bound:

X₀+1 {O(n)}

MPRF:

• evalfbb10in: [1+X₃]
• evalfbb3in: [X₃]
• evalfbb4in: [X₃]
• evalfbb5in: [X₃]
• evalfbb6in: [X₃]
• evalfbb7in: [X₃]
• evalfbb8in: [X₃]
• evalfbb9in: [X₃]

MPRF for transition t₅: evalfbb8in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb9in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₀ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ of depth 1:

new bound:

X₀+1 {O(n)}

MPRF:

• evalfbb10in: [1+X₃]
• evalfbb3in: [1+X₃]
• evalfbb4in: [1+X₃]
• evalfbb5in: [1+X₃]
• evalfbb6in: [1+X₃]
• evalfbb7in: [1+X₃]
• evalfbb8in: [1+X₃]
• evalfbb9in: [X₃]

MPRF for transition t₁₃: evalfbb9in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb10in(X₀, X₁, X₂, X₃-1, X₄, X₅, X₆) :|: 1+X₀ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ of depth 1:

new bound:

X₀ {O(n)}

MPRF:

• evalfbb10in: [X₃]
• evalfbb3in: [X₃]
• evalfbb4in: [X₃]
• evalfbb5in: [X₃]
• evalfbb6in: [X₃]
• evalfbb7in: [X₃]
• evalfbb8in: [X₃]
• evalfbb9in: [X₃]

MPRF for transition t₄: evalfbb8in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb6in(X₀, X₁, X₂, X₃, X₄, X₃, X₆) :|: X₄ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ of depth 1:

new bound:

X₀⋅X₁+X₁ {O(n^2)}

MPRF:

• evalfbb10in: [X₀]
• evalfbb3in: [X₀-X₄]
• evalfbb4in: [X₀-X₄]
• evalfbb5in: [X₀-X₄]
• evalfbb6in: [X₀-X₄]
• evalfbb7in: [X₀-X₄]
• evalfbb8in: [1+X₀-X₄]
• evalfbb9in: [X₀-X₄]

MPRF for transition t₇: evalfbb6in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₁ ≤ X₅ ∧ 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₅ of depth 1:

new bound:

X₀⋅X₁+X₁ {O(n^2)}

MPRF:

• evalfbb10in: [X₀]
• evalfbb3in: [1+X₀-X₄]
• evalfbb4in: [1+X₀-X₄]
• evalfbb5in: [1+X₀-X₄]
• evalfbb6in: [1+X₀-X₄]
• evalfbb7in: [X₀-X₄]
• evalfbb8in: [1+X₀-X₄]
• evalfbb9in: [X₀-X₄]

MPRF for transition t₁₂: evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb8in(X₀, X₁, X₂, X₃, 1+X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1+X₁ ≤ X₅ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₅ of depth 1:

new bound:

X₀⋅X₁+X₁ {O(n^2)}

MPRF:

• evalfbb10in: [X₀]
• evalfbb3in: [1+X₀-X₄]
• evalfbb4in: [1+X₀-X₄]
• evalfbb5in: [1+X₀-X₄]
• evalfbb6in: [1+X₀-X₄]
• evalfbb7in: [1+X₀-X₄]
• evalfbb8in: [1+X₀-X₄]
• evalfbb9in: [X₀-X₄]

MPRF for transition t₆: evalfbb6in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb4in(X₀, X₁, X₂, X₃, X₄, X₅, X₂) :|: X₅ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₅ of depth 1:

new bound:

X₀⋅X₁⋅X₂+X₁⋅X₂+X₂ {O(n^3)}

MPRF:

• evalfbb10in: [X₁]
• evalfbb3in: [X₁-X₅]
• evalfbb4in: [X₁-X₅]
• evalfbb5in: [X₁-X₅]
• evalfbb6in: [1+X₁-X₅]
• evalfbb7in: [X₁-X₅]
• evalfbb8in: [X₁]
• evalfbb9in: [X₁]

MPRF for transition t₉: evalfbb4in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb5in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₄ ≤ X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₂ ∧ X₃ ≤ X₅ of depth 1:

new bound:

X₀⋅X₁⋅X₂+X₁⋅X₂+X₂ {O(n^3)}

MPRF:

• evalfbb10in: [X₁]
• evalfbb3in: [1+X₁-X₅]
• evalfbb4in: [1+X₁-X₅]
• evalfbb5in: [X₁-X₅]
• evalfbb6in: [1+X₁-X₅]
• evalfbb7in: [X₁-X₅]
• evalfbb8in: [X₁]
• evalfbb9in: [X₁]

MPRF for transition t₁₁: evalfbb5in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → evalfbb6in(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₂ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₆ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₂+X₄ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₅+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₂ ∧ X₃ ≤ X₅ of depth 1:

new bound:

X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+X₁+X₂ {O(n^3)}

MPRF:

• evalfbb10in: [X₀+X₁]
• evalfbb3in: [1+X₀+X₁-X₄-X₅]
• evalfbb4in: [1+X₀+X₁-X₄-X₅]
• evalfbb5in: [1+X₀+X₁-X₄-X₅]
• evalfbb6in: [1+X₀+X₁-X₄-X₅]
• evalfbb7in: [X₀+X₁-X₄-X₅]
• evalfbb8in: [X₀+X₁]
• evalfbb9in: [X₀+X₁]

Found invariant X₆ ≤ X₂ ∧ 2 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 4 ≤ X₁+X₆ ∧ 3 ≤ X₀+X₆ ∧ X₅ ≤ X₁ ∧ 2 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 4 ≤ X₁+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 3 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalfbb4in_v3

Found invariant 1+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₀ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalfbb3in_v2

Found invariant 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1+X₁ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ 1+X₀ ∧ 2 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location evalfbb8in_v1

Found invariant X₆ ≤ X₂ ∧ 2 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₀+X₆ ∧ X₅ ≤ 1+X₁ ∧ 2 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 3 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalfbb6in_v2

Found invariant X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1+X₁ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location evalfbb7in_v1

Found invariant 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₀ ≤ X₄ ∧ 1 ≤ X₃ for location evalfbb9in

Found invariant X₄ ≤ 1 ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1 ≤ X₃ for location evalfbb8in

Found invariant X₃ ≤ 0 for location evalfreturnin

Found invariant X₆ ≤ X₄ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalfbb3in_v1

Found invariant X₆ ≤ X₂ ∧ 2 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₀+X₆ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 3 ≤ X₂+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 3 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalfbb5in_v1

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalfbb4in_v1

Found invariant X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location evalfbb6in_v1

Found invariant X₃ ≤ 0 for location evalfstop

Found invariant X₆ ≤ X₂ ∧ 2 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₀+X₆ ∧ X₅ ≤ 1+X₁ ∧ 2 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 3 ≤ X₁+X₅ ∧ 1+X₁ ≤ X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 3 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalfbb7in_v2

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₀+1 {O(n)}
t₃: 1 {O(1)}
t₄: X₀⋅X₁+X₁ {O(n^2)}
t₅: X₀+1 {O(n)}
t₆: X₀⋅X₁⋅X₂+X₁⋅X₂+X₂ {O(n^3)}
t₇: X₀⋅X₁+X₁ {O(n^2)}
t₈: inf {Infinity}
t₉: X₀⋅X₁⋅X₂+X₁⋅X₂+X₂ {O(n^3)}
t₁₀: inf {Infinity}
t₁₁: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+X₁+X₂ {O(n^3)}
t₁₂: X₀⋅X₁+X₁ {O(n^2)}
t₁₃: X₀ {O(n)}
t₁₄: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₀+1 {O(n)}
t₃: 1 {O(1)}
t₄: X₀⋅X₁+X₁ {O(n^2)}
t₅: X₀+1 {O(n)}
t₆: X₀⋅X₁⋅X₂+X₁⋅X₂+X₂ {O(n^3)}
t₇: X₀⋅X₁+X₁ {O(n^2)}
t₈: inf {Infinity}
t₉: X₀⋅X₁⋅X₂+X₁⋅X₂+X₂ {O(n^3)}
t₁₀: inf {Infinity}
t₁₁: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+X₁+X₂ {O(n^3)}
t₁₂: X₀⋅X₁+X₁ {O(n^2)}
t₁₃: X₀ {O(n)}
t₁₄: 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)}
t₁, X₀: X₁ {O(n)}
t₁, X₁: X₂ {O(n)}
t₁, X₂: X₃ {O(n)}
t₁, X₃: X₀ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₂, X₀: X₁ {O(n)}
t₂, X₁: X₂ {O(n)}
t₂, X₂: X₃ {O(n)}
t₂, X₃: X₀ {O(n)}
t₂, X₄: 1 {O(1)}
t₂, X₅: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+4⋅X₀+X₁+X₂+X₅ {O(n^3)}
t₂, X₆: 2⋅X₃+X₆ {O(n)}
t₃, X₀: 2⋅X₁ {O(n)}
t₃, X₁: 2⋅X₂ {O(n)}
t₃, X₂: 2⋅X₃ {O(n)}
t₃, X₃: 2⋅X₀ {O(n)}
t₃, X₄: X₀⋅X₁+X₁+X₄+2 {O(n^2)}
t₃, X₅: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+2⋅X₅+4⋅X₀+X₁+X₂ {O(n^3)}
t₃, X₆: 2⋅X₃+2⋅X₆ {O(n)}
t₄, X₀: X₁ {O(n)}
t₄, X₁: X₂ {O(n)}
t₄, X₂: X₃ {O(n)}
t₄, X₃: X₀ {O(n)}
t₄, X₄: X₀⋅X₁+X₁+1 {O(n^2)}
t₄, X₅: 2⋅X₀ {O(n)}
t₄, X₆: 2⋅X₃+X₆ {O(n)}
t₅, X₀: X₁ {O(n)}
t₅, X₁: X₂ {O(n)}
t₅, X₂: X₃ {O(n)}
t₅, X₃: X₀ {O(n)}
t₅, X₄: X₀⋅X₁+X₁+2 {O(n^2)}
t₅, X₅: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+4⋅X₀+X₁+X₂+X₅ {O(n^3)}
t₅, X₆: 2⋅X₃+X₆ {O(n)}
t₆, X₀: X₁ {O(n)}
t₆, X₁: X₂ {O(n)}
t₆, X₂: X₃ {O(n)}
t₆, X₃: X₀ {O(n)}
t₆, X₄: X₀⋅X₁+X₁+1 {O(n^2)}
t₆, X₅: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+2⋅X₀+X₁+X₂ {O(n^3)}
t₆, X₆: 2⋅X₃ {O(n)}
t₇, X₀: X₁ {O(n)}
t₇, X₁: X₂ {O(n)}
t₇, X₂: X₃ {O(n)}
t₇, X₃: X₀ {O(n)}
t₇, X₄: X₀⋅X₁+X₁+1 {O(n^2)}
t₇, X₅: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+4⋅X₀+X₁+X₂ {O(n^3)}
t₇, X₆: 2⋅X₃+X₆ {O(n)}
t₈, X₀: X₁ {O(n)}
t₈, X₁: X₂ {O(n)}
t₈, X₂: X₃ {O(n)}
t₈, X₃: X₀ {O(n)}
t₈, X₄: X₀⋅X₁+X₁+1 {O(n^2)}
t₈, X₅: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+2⋅X₀+X₁+X₂ {O(n^3)}
t₉, X₀: X₁ {O(n)}
t₉, X₁: X₂ {O(n)}
t₉, X₂: X₃ {O(n)}
t₉, X₃: X₀ {O(n)}
t₉, X₄: X₀⋅X₁+X₁+1 {O(n^2)}
t₉, X₅: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+2⋅X₀+X₁+X₂ {O(n^3)}
t₉, X₆: 2⋅X₃ {O(n)}
t₁₀, X₀: X₁ {O(n)}
t₁₀, X₁: X₂ {O(n)}
t₁₀, X₂: X₃ {O(n)}
t₁₀, X₃: X₀ {O(n)}
t₁₀, X₄: X₀⋅X₁+X₁+1 {O(n^2)}
t₁₀, X₅: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+2⋅X₀+X₁+X₂ {O(n^3)}
t₁₁, X₀: X₁ {O(n)}
t₁₁, X₁: X₂ {O(n)}
t₁₁, X₂: X₃ {O(n)}
t₁₁, X₃: X₀ {O(n)}
t₁₁, X₄: X₀⋅X₁+X₁+1 {O(n^2)}
t₁₁, X₅: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+2⋅X₀+X₁+X₂ {O(n^3)}
t₁₁, X₆: 2⋅X₃ {O(n)}
t₁₂, X₀: X₁ {O(n)}
t₁₂, X₁: X₂ {O(n)}
t₁₂, X₂: X₃ {O(n)}
t₁₂, X₃: X₀ {O(n)}
t₁₂, X₄: X₀⋅X₁+X₁+1 {O(n^2)}
t₁₂, X₅: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+4⋅X₀+X₁+X₂ {O(n^3)}
t₁₂, X₆: 2⋅X₃+X₆ {O(n)}
t₁₃, X₀: X₁ {O(n)}
t₁₃, X₁: X₂ {O(n)}
t₁₃, X₂: X₃ {O(n)}
t₁₃, X₃: X₀ {O(n)}
t₁₃, X₄: X₀⋅X₁+X₁+2 {O(n^2)}
t₁₃, X₅: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+4⋅X₀+X₁+X₂+X₅ {O(n^3)}
t₁₃, X₆: 2⋅X₃+X₆ {O(n)}
t₁₄, X₀: 2⋅X₁ {O(n)}
t₁₄, X₁: 2⋅X₂ {O(n)}
t₁₄, X₂: 2⋅X₃ {O(n)}
t₁₄, X₃: 2⋅X₀ {O(n)}
t₁₄, X₄: X₀⋅X₁+X₁+X₄+2 {O(n^2)}
t₁₄, X₅: X₀⋅X₁⋅X₁+X₀⋅X₁⋅X₂+X₁⋅X₁+X₁⋅X₂+2⋅X₅+4⋅X₀+X₁+X₂ {O(n^3)}
t₁₄, X₆: 2⋅X₃+2⋅X₆ {O(n)}