Initial Problem

Start: start0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: lbl121, lbl82, start, start0, stop
Transitions:
t₈: lbl121(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl121(X₀, X₆, X₂, X₃, X₄-1, X₅, X₄-1, X₇) :|: X₁ ≤ 1+X₄ ∧ 1+X₄ ≤ 2⋅X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₆
t₇: lbl121(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇) :|: X₁ ≤ 1+X₄ ∧ 1+X₄ ≤ 2⋅X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₆
t₆: lbl121(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁ ≤ 1+X₄ ∧ 1+X₄ ≤ 2⋅X₀ ∧ 1+X₄ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₆
t₅: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl121(X₀, X₆, X₂, X₃, X₄-1, X₅, X₄-1, X₇) :|: X₀ ≤ 1+X₆ ∧ 1+X₆ ≤ X₄ ∧ X₄ ≤ 2⋅X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₆
t₄: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇) :|: X₀ ≤ 1+X₆ ∧ 1+X₆ ≤ X₄ ∧ X₄ ≤ 2⋅X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₆
t₃: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 1+X₆ ∧ 1+X₆ ≤ X₀ ∧ X₄ ≤ 2⋅X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄
t₂: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl121(X₀, 2⋅X₃, X₂, X₃, 2⋅X₃-1, X₅, 2⋅X₃-1, X₇) :|: 0 ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₁: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁, X₂, X₃, 2⋅X₃, X₅, 2⋅X₃-1, X₇) :|: 0 ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₀: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₀ ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₉: start0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → start(X₀, X₂, X₂, X₀, X₅, X₅, X₇, X₇)

Preprocessing

Found invariant 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₄+X₆ ∧ 0 ≤ 1+X₃+X₆ ∧ X₃ ≤ 1+X₆ ∧ 0 ≤ 1+X₁+X₆ ∧ 0 ≤ 1+X₀+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ 1+X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 0 ≤ 1+X₁+X₄ ∧ 0 ≤ 1+X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location lbl121

Found invariant X₃ ≤ X₀ ∧ X₀ ≤ X₃ for location stop

Found invariant X₇ ≤ X₆ ∧ X₆ ≤ X₇ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ for location start

Found invariant 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₄+X₆ ∧ 0 ≤ 1+X₃+X₆ ∧ X₃ ≤ 1+X₆ ∧ 0 ≤ 1+X₀+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₀ for location lbl82

Problem after Preprocessing

Start: start0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: lbl121, lbl82, start, start0, stop
Transitions:
t₈: lbl121(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl121(X₀, X₆, X₂, X₃, X₄-1, X₅, X₄-1, X₇) :|: X₁ ≤ 1+X₄ ∧ 1+X₄ ≤ 2⋅X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₆ ∧ 0 ≤ 2+X₄+X₆ ∧ 0 ≤ 1+X₀+X₄ ∧ 0 ≤ 1+X₀+X₆ ∧ X₀ ≤ 1+X₄ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ 1+X₁+X₄ ∧ 0 ≤ 1+X₁+X₆ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 1+X₃+X₆ ∧ X₃ ≤ 1+X₄ ∧ X₃ ≤ 1+X₆ ∧ 0 ≤ 1+X₄ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃
t₇: lbl121(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇) :|: X₁ ≤ 1+X₄ ∧ 1+X₄ ≤ 2⋅X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₆ ∧ 0 ≤ 2+X₄+X₆ ∧ 0 ≤ 1+X₀+X₄ ∧ 0 ≤ 1+X₀+X₆ ∧ X₀ ≤ 1+X₄ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ 1+X₁+X₄ ∧ 0 ≤ 1+X₁+X₆ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 1+X₃+X₆ ∧ X₃ ≤ 1+X₄ ∧ X₃ ≤ 1+X₆ ∧ 0 ≤ 1+X₄ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃
t₆: lbl121(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁ ≤ 1+X₄ ∧ 1+X₄ ≤ 2⋅X₀ ∧ 1+X₄ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₆ ∧ 0 ≤ 2+X₄+X₆ ∧ 0 ≤ 1+X₀+X₄ ∧ 0 ≤ 1+X₀+X₆ ∧ X₀ ≤ 1+X₄ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ 1+X₁+X₄ ∧ 0 ≤ 1+X₁+X₆ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 1+X₃+X₆ ∧ X₃ ≤ 1+X₄ ∧ X₃ ≤ 1+X₆ ∧ 0 ≤ 1+X₄ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃
t₅: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl121(X₀, X₆, X₂, X₃, X₄-1, X₅, X₄-1, X₇) :|: X₀ ≤ 1+X₆ ∧ 1+X₆ ≤ X₄ ∧ X₄ ≤ 2⋅X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₆ ∧ 0 ≤ 1+X₀+X₆ ∧ 0 ≤ 1+X₃+X₆ ∧ X₃ ≤ 1+X₆ ∧ 0 ≤ 1+X₄+X₆ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₄
t₄: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇) :|: X₀ ≤ 1+X₆ ∧ 1+X₆ ≤ X₄ ∧ X₄ ≤ 2⋅X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₆ ∧ 0 ≤ 1+X₀+X₆ ∧ 0 ≤ 1+X₃+X₆ ∧ X₃ ≤ 1+X₆ ∧ 0 ≤ 1+X₄+X₆ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₄
t₃: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 1+X₆ ∧ 1+X₆ ≤ X₀ ∧ X₄ ≤ 2⋅X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ 0 ≤ 1+X₀+X₆ ∧ 0 ≤ 1+X₃+X₆ ∧ X₃ ≤ 1+X₆ ∧ 0 ≤ 1+X₄+X₆ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₄
t₂: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl121(X₀, 2⋅X₃, X₂, X₃, 2⋅X₃-1, X₅, 2⋅X₃-1, X₇) :|: 0 ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₁: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁, X₂, X₃, 2⋅X₃, X₅, 2⋅X₃-1, X₇) :|: 0 ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₀: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₀ ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₉: start0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → start(X₀, X₂, X₂, X₀, X₅, X₅, X₇, X₇)

MPRF for transition t₅: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl121(X₀, X₆, X₂, X₃, X₄-1, X₅, X₄-1, X₇) :|: X₀ ≤ 1+X₆ ∧ 1+X₆ ≤ X₄ ∧ X₄ ≤ 2⋅X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₆ ∧ 0 ≤ 1+X₀+X₆ ∧ 0 ≤ 1+X₃+X₆ ∧ X₃ ≤ 1+X₆ ∧ 0 ≤ 1+X₄+X₆ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

4⋅X₀+4 {O(n)}

• lbl121: [1+X₆]
• lbl82: [1+X₄]

MPRF for transition t₇: lbl121(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇) :|: X₁ ≤ 1+X₄ ∧ 1+X₄ ≤ 2⋅X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₆ ∧ 0 ≤ 2+X₄+X₆ ∧ 0 ≤ 1+X₀+X₄ ∧ 0 ≤ 1+X₀+X₆ ∧ X₀ ≤ 1+X₄ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ 1+X₁+X₄ ∧ 0 ≤ 1+X₁+X₆ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 1+X₃+X₆ ∧ X₃ ≤ 1+X₄ ∧ X₃ ≤ 1+X₆ ∧ 0 ≤ 1+X₄ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ of depth 1:

new bound:

4⋅X₀+5 {O(n)}

• lbl121: [2+X₄]
• lbl82: [1+X₄]

MPRF for transition t₈: lbl121(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl121(X₀, X₆, X₂, X₃, X₄-1, X₅, X₄-1, X₇) :|: X₁ ≤ 1+X₄ ∧ 1+X₄ ≤ 2⋅X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₆ ∧ 0 ≤ 2+X₄+X₆ ∧ 0 ≤ 1+X₀+X₄ ∧ 0 ≤ 1+X₀+X₆ ∧ X₀ ≤ 1+X₄ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ 1+X₁+X₄ ∧ 0 ≤ 1+X₁+X₆ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 1+X₃+X₆ ∧ X₃ ≤ 1+X₄ ∧ X₃ ≤ 1+X₆ ∧ 0 ≤ 1+X₄ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ of depth 1:

new bound:

4⋅X₀+5 {O(n)}

• lbl121: [2+X₄]
• lbl82: [1+X₄]

TWN: t₄: lbl82→lbl82

Show Graph

Termination: true
Formula:

Termination: true
Formula:

TWN - Lifting for [4: lbl82->lbl82] of 14⋅X₆+2⋅X₄+4⋅X₃+6⋅X₀+42 {O(n)}

TWN - Lifting for [4: lbl82->lbl82] of 14⋅X₆+2⋅X₄+4⋅X₃+6⋅X₀+42 {O(n)}

Found invariant 3+X₆ ≤ X₄ ∧ 1 ≤ X₆ ∧ 5 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ X₃ ≤ 1+X₆ ∧ 3 ≤ X₀+X₆ ∧ X₀ ≤ 1+X₆ ∧ 4 ≤ X₄ ∧ 6 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 6 ≤ X₀+X₄ ∧ 2+X₀ ≤ X₄ ∧ X₃ ≤ X₀ ∧ 2 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 2 ≤ X₀ for location lbl82_v2

Found invariant 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₄+X₆ ∧ 0 ≤ 1+X₃+X₆ ∧ X₃ ≤ 1+X₆ ∧ 0 ≤ 1+X₁+X₆ ∧ 0 ≤ 1+X₀+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ 1+X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 0 ≤ 1+X₁+X₄ ∧ 0 ≤ 1+X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location lbl121

Found invariant X₃ ≤ X₀ ∧ X₀ ≤ X₃ for location stop

Found invariant 2+X₆ ≤ X₄ ∧ 0 ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ X₃ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₀ ≤ 1+X₆ ∧ 2 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 1+X₃ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₀ for location lbl82_v1

Found invariant X₇ ≤ X₆ ∧ X₆ ≤ X₇ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ for location start

Found invariant 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₄+X₆ ∧ 0 ≤ 1+X₃+X₆ ∧ X₃ ≤ 1+X₆ ∧ 0 ≤ 1+X₀+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₀ for location lbl82

All Bounds

Timebounds

Overall timebound:1344⋅X₀⋅X₀+2590⋅X₀+1160 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1344⋅X₀⋅X₀+2578⋅X₀+1140 {O(n^2)}
t₅: 4⋅X₀+4 {O(n)}
t₆: 1 {O(1)}
t₇: 4⋅X₀+5 {O(n)}
t₈: 4⋅X₀+5 {O(n)}
t₉: 1 {O(1)}

Costbounds

Overall costbound: 1344⋅X₀⋅X₀+2590⋅X₀+1160 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1344⋅X₀⋅X₀+2578⋅X₀+1140 {O(n^2)}
t₅: 4⋅X₀+4 {O(n)}
t₆: 1 {O(1)}
t₇: 4⋅X₀+5 {O(n)}
t₈: 4⋅X₀+5 {O(n)}
t₉: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₂ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₀ {O(n)}
t₀, X₄: X₅ {O(n)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₇ {O(n)}
t₀, X₇: X₇ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₂ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₀ {O(n)}
t₁, X₄: 2⋅X₀ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: 2⋅X₀+2 {O(n)}
t₁, X₇: X₇ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: 2⋅X₀ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₀ {O(n)}
t₂, X₄: 2⋅X₀+2 {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: 2⋅X₀+2 {O(n)}
t₂, X₇: X₇ {O(n)}
t₃, X₀: 5⋅X₀ {O(n)}
t₃, X₁: 144⋅X₀+2⋅X₂+80 {O(n)}
t₃, X₂: 5⋅X₂ {O(n)}
t₃, X₃: 5⋅X₀ {O(n)}
t₃, X₄: 10⋅X₀+4 {O(n)}
t₃, X₅: 5⋅X₅ {O(n)}
t₃, X₆: 48⋅X₀+28 {O(n)}
t₃, X₇: 5⋅X₇ {O(n)}
t₄, X₀: 2⋅X₀ {O(n)}
t₄, X₁: 72⋅X₀+X₂+40 {O(n)}
t₄, X₂: 2⋅X₂ {O(n)}
t₄, X₃: 2⋅X₀ {O(n)}
t₄, X₄: 4⋅X₀+2 {O(n)}
t₄, X₅: 2⋅X₅ {O(n)}
t₄, X₆: 24⋅X₀+14 {O(n)}
t₄, X₇: 2⋅X₇ {O(n)}
t₅, X₀: 2⋅X₀ {O(n)}
t₅, X₁: 48⋅X₀+28 {O(n)}
t₅, X₂: 2⋅X₂ {O(n)}
t₅, X₃: 2⋅X₀ {O(n)}
t₅, X₄: 4⋅X₀+2 {O(n)}
t₅, X₅: 2⋅X₅ {O(n)}
t₅, X₆: 10⋅X₀+4 {O(n)}
t₅, X₇: 2⋅X₇ {O(n)}
t₆, X₀: 3⋅X₀ {O(n)}
t₆, X₁: 24⋅X₀+12 {O(n)}
t₆, X₂: 3⋅X₂ {O(n)}
t₆, X₃: 3⋅X₀ {O(n)}
t₆, X₄: 6⋅X₀+4 {O(n)}
t₆, X₅: 3⋅X₅ {O(n)}
t₆, X₆: 12⋅X₀+8 {O(n)}
t₆, X₇: 3⋅X₇ {O(n)}
t₇, X₀: 2⋅X₀ {O(n)}
t₇, X₁: 72⋅X₀+40 {O(n)}
t₇, X₂: 2⋅X₂ {O(n)}
t₇, X₃: 2⋅X₀ {O(n)}
t₇, X₄: 4⋅X₀+2 {O(n)}
t₇, X₅: 2⋅X₅ {O(n)}
t₇, X₆: 22⋅X₀+12 {O(n)}
t₇, X₇: 2⋅X₇ {O(n)}
t₈, X₀: 2⋅X₀ {O(n)}
t₈, X₁: 22⋅X₀+12 {O(n)}
t₈, X₂: 2⋅X₂ {O(n)}
t₈, X₃: 2⋅X₀ {O(n)}
t₈, X₄: 4⋅X₀+2 {O(n)}
t₈, X₅: 2⋅X₅ {O(n)}
t₈, X₆: 10⋅X₀+6 {O(n)}
t₈, X₇: 2⋅X₇ {O(n)}
t₉, X₀: X₀ {O(n)}
t₉, X₁: X₂ {O(n)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: X₀ {O(n)}
t₉, X₄: X₅ {O(n)}
t₉, X₅: X₅ {O(n)}
t₉, X₆: X₇ {O(n)}
t₉, X₇: X₇ {O(n)}