Initial Problem
Start: start0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: lbl111, lbl16, lbl82, start, start0, stop
Transitions:
t₃: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl111(X₀, X₁, X₂, X₃-X₅, X₄, X₅, X₆, X₇) :|: 1+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ X₁ ≤ X₀ ∧ X₃+X₅ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₃ ∧ X₅ ≤ X₃
t₄: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁, X₂, X₇, X₄, X₅-1, X₆, X₇) :|: 1+X₅ ≤ X₀ ∧ 1+X₃ ≤ 0 ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₅ ∧ X₁ ≤ X₀ ∧ X₃+X₅ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₃
t₅: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁, X₂, X₇, X₄, X₅-1, X₆, X₇) :|: 1+X₅ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₅ ∧ X₁ ≤ X₀ ∧ X₃+X₅ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₃
t₆: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁-X₅, X₂, X₇, X₄, X₅-1, X₆, X₇) :|: 1+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ X₁ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₂: lbl16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₁ ≤ X₀ ∧ 2 ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0
t₈: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl111(X₀, X₁, X₂, X₃-X₅, X₄, X₅, X₆, X₇) :|: 1+X₁ ≤ X₀+X₅ ∧ 1 ≤ X₅ ∧ 2+X₅ ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₅
t₇: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₁ ≤ X₀ ∧ 2 ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0
t₉: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁, X₂, X₇, X₄, X₅-1, X₆, X₇) :|: 1 ≤ X₀ ∧ 1+X₁ ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ 2+X₅ ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₅
t₁₀: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁, X₂, X₇, X₄, X₅-1, X₆, X₇) :|: 1+X₁ ≤ X₀+X₅ ∧ 1+X₀ ≤ 0 ∧ 1 ≤ X₅ ∧ 2+X₅ ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₅
t₁₁: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁-X₅, X₂, X₇, X₄, X₅-1, X₆, X₇) :|: 1+X₁ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2+X₅ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ 0 ∧ 0 ≤ X₃ ∧ X₃ ≤ 0 ∧ 0 ≤ X₅ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0
t₁: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl111(X₀, X₇, X₂, 1, X₄, X₇-1, X₆, X₇) :|: 2 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₀: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 1 ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₁₂: start0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → start(X₀, X₂, X₂, X₄, X₄, X₆, X₆, X₀)
Preprocessing
Cut unsatisfiable transition [t₄: lbl111→lbl82; t₉: lbl82→lbl82; t₁₀: lbl82→lbl82; t₁₁: lbl82→lbl82]
Found invariant X₇ ≤ X₀ ∧ X₀ ≤ X₇ for location stop
Found invariant X₇ ≤ X₃ ∧ X₇ ≤ X₀ ∧ 2 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2+X₅ ≤ X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1+X₁ ≤ X₇ ∧ 4 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 0 ∧ 2+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₃ ≤ X₀ ∧ 2 ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₁ ≤ X₀ ∧ 2 ≤ X₀ for location lbl16
Found invariant X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ for location start
Found invariant X₇ ≤ X₀ ∧ 2 ≤ X₇ ∧ 3 ≤ X₅+X₇ ∧ 1+X₅ ≤ X₇ ∧ 2 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₇ ∧ X₁ ≤ X₇ ∧ 4 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₃ ≤ X₀ ∧ 2 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₀ for location lbl111
Found invariant X₇ ≤ X₃ ∧ X₇ ≤ X₀ ∧ 2 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2+X₅ ≤ X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ X₁ ≤ X₇ ∧ 4 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 2+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₃ ≤ X₀ ∧ 2 ≤ X₃ ∧ X₁ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₀ for location lbl82
Problem after Preprocessing
Start: start0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: lbl111, lbl16, lbl82, start, start0, stop
Transitions:
t₃: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl111(X₀, X₁, X₂, X₃-X₅, X₄, X₅, X₆, X₇) :|: 1+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ X₁ ≤ X₀ ∧ X₃+X₅ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₃ ∧ X₅ ≤ X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₇ ∧ 1+X₅ ≤ X₇ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₇ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₅+X₇ ∧ 4 ≤ X₀+X₇ ∧ X₁ ≤ X₇
t₅: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁, X₂, X₇, X₄, X₅-1, X₆, X₇) :|: 1+X₅ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₅ ∧ X₁ ≤ X₀ ∧ X₃+X₅ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₇ ∧ 1+X₅ ≤ X₇ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₇ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₅+X₇ ∧ 4 ≤ X₀+X₇ ∧ X₁ ≤ X₇
t₆: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁-X₅, X₂, X₇, X₄, X₅-1, X₆, X₇) :|: 1+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ X₁ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₇ ∧ 1+X₅ ≤ X₇ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₇ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₅+X₇ ∧ 4 ≤ X₀+X₇ ∧ X₁ ≤ X₇
t₂: lbl16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₁ ≤ X₀ ∧ 2 ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0 ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₇ ∧ 2 ≤ X₀+X₅ ∧ 2+X₅ ≤ X₀ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₅+X₇ ∧ 2+X₅ ≤ X₇ ∧ 2 ≤ X₇ ∧ 4 ≤ X₀+X₃ ∧ 4 ≤ X₀+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₃ ≤ X₇
t₈: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl111(X₀, X₁, X₂, X₃-X₅, X₄, X₅, X₆, X₇) :|: 1+X₁ ≤ X₀+X₅ ∧ 1 ≤ X₅ ∧ 2+X₅ ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₅+X₇ ∧ 2+X₅ ≤ X₇ ∧ 2 ≤ X₇ ∧ 4 ≤ X₀+X₃ ∧ 4 ≤ X₀+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₇ ∧ X₇ ≤ X₃ ∧ X₃ ≤ X₇
t₇: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₁ ≤ X₀ ∧ 2 ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0 ∧ 2 ≤ X₀+X₅ ∧ 2+X₅ ≤ X₀ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₅+X₇ ∧ 2+X₅ ≤ X₇ ∧ 2 ≤ X₇ ∧ 4 ≤ X₀+X₃ ∧ 4 ≤ X₀+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₇ ∧ X₇ ≤ X₃ ∧ X₃ ≤ X₇
t₁: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl111(X₀, X₇, X₂, 1, X₄, X₇-1, X₆, X₇) :|: 2 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₀: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 1 ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₁₂: start0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → start(X₀, X₂, X₂, X₄, X₄, X₆, X₆, X₀)
MPRF for transition t₅: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁, X₂, X₇, X₄, X₅-1, X₆, X₇) :|: 1+X₅ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₅ ∧ X₁ ≤ X₀ ∧ X₃+X₅ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₇ ∧ 1+X₅ ≤ X₇ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₇ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₅+X₇ ∧ 4 ≤ X₀+X₇ ∧ X₁ ≤ X₇ of depth 1:
new bound:
X₀ {O(n)}
MPRF:
• lbl111: [X₅]
• lbl82: [X₅]
MPRF for transition t₆: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl82(X₀, X₁-X₅, X₂, X₇, X₄, X₅-1, X₆, X₇) :|: 1+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ X₁ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₇ ∧ 1+X₅ ≤ X₇ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₇ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₅+X₇ ∧ 4 ≤ X₀+X₇ ∧ X₁ ≤ X₇ of depth 1:
new bound:
X₀ {O(n)}
MPRF:
• lbl111: [X₅]
• lbl82: [X₅]
MPRF for transition t₈: lbl82(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl111(X₀, X₁, X₂, X₃-X₅, X₄, X₅, X₆, X₇) :|: 1+X₁ ≤ X₀+X₅ ∧ 1 ≤ X₅ ∧ 2+X₅ ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₅+X₇ ∧ 2+X₅ ≤ X₇ ∧ 2 ≤ X₇ ∧ 4 ≤ X₀+X₃ ∧ 4 ≤ X₀+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₇ ∧ X₇ ≤ X₃ ∧ X₃ ≤ X₇ of depth 1:
new bound:
X₀+1 {O(n)}
MPRF:
• lbl111: [X₅-1]
• lbl82: [X₅]
MPRF for transition t₃: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl111(X₀, X₁, X₂, X₃-X₅, X₄, X₅, X₆, X₇) :|: 1+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ X₁ ≤ X₀ ∧ X₃+X₅ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₃ ∧ X₅ ≤ X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₇ ∧ 1+X₅ ≤ X₇ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₇ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₅+X₇ ∧ 4 ≤ X₀+X₇ ∧ X₁ ≤ X₇ of depth 1:
new bound:
4⋅X₀⋅X₀+5⋅X₀+3 {O(n^2)}
MPRF:
• lbl111: [1+X₃]
• lbl82: [0]
Cut unsatisfiable transition [t₆: lbl111→lbl82; t₈₄: lbl111→lbl82]
Found invariant X₇ ≤ X₀ ∧ X₀ ≤ X₇ for location stop
Found invariant X₇ ≤ X₃ ∧ X₇ ≤ X₀ ∧ 2 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2+X₅ ≤ X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1+X₁ ≤ X₇ ∧ 4 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 0 ∧ 2+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₃ ≤ X₀ ∧ 2 ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₁ ≤ X₀ ∧ 2 ≤ X₀ for location lbl16
Found invariant X₇ ≤ X₀ ∧ 3 ≤ X₇ ∧ 4 ≤ X₅+X₇ ∧ 2+X₅ ≤ X₇ ∧ 3 ≤ X₃+X₇ ∧ 3+X₃ ≤ X₇ ∧ X₁ ≤ X₇ ∧ 6 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 2+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₅ ∧ 3+X₃ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 3 ≤ X₀ for location lbl111_v2
Found invariant X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ for location start
Found invariant X₇ ≤ X₀ ∧ 2 ≤ X₇ ∧ 3 ≤ X₅+X₇ ∧ 1+X₅ ≤ X₇ ∧ 3 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₇ ∧ X₁ ≤ X₇ ∧ 4 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₃ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₀ for location lbl111
Found invariant X₇ ≤ X₀ ∧ 2 ≤ X₇ ∧ 3 ≤ X₅+X₇ ∧ 1+X₅ ≤ X₇ ∧ 2 ≤ X₃+X₇ ∧ 2+X₃ ≤ X₇ ∧ X₁ ≤ X₇ ∧ 4 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 2+X₃ ≤ X₀ ∧ 2 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₀ for location lbl111_v1
Found invariant X₇ ≤ X₃ ∧ X₇ ≤ X₀ ∧ 2 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2+X₅ ≤ X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ X₁ ≤ X₇ ∧ 4 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 2+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₃ ≤ X₀ ∧ 2 ≤ X₃ ∧ X₁ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₀ for location lbl82
All Bounds
Timebounds
Overall timebound:4⋅X₀⋅X₀+8⋅X₀+9 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 4⋅X₀⋅X₀+5⋅X₀+3 {O(n^2)}
t₅: X₀ {O(n)}
t₆: X₀ {O(n)}
t₇: 1 {O(1)}
t₈: X₀+1 {O(n)}
t₁₂: 1 {O(1)}
Costbounds
Overall costbound: 4⋅X₀⋅X₀+8⋅X₀+9 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 4⋅X₀⋅X₀+5⋅X₀+3 {O(n^2)}
t₅: X₀ {O(n)}
t₆: X₀ {O(n)}
t₇: 1 {O(1)}
t₈: X₀+1 {O(n)}
t₁₂: 1 {O(1)}
Sizebounds
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₂ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₄ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₆ {O(n)}
t₀, X₆: X₆ {O(n)}
t₀, X₇: X₀ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₀ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: 1 {O(1)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₀ {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₀ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₀⋅X₀+2⋅X₀ {O(n^2)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₀ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: 0 {O(1)}
t₂, X₆: X₆ {O(n)}
t₂, X₇: X₀ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₀⋅X₀+2⋅X₀ {O(n^2)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: 4⋅X₀+1 {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₀ {O(n)}
t₃, X₆: X₆ {O(n)}
t₃, X₇: X₀ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₀⋅X₀+2⋅X₀ {O(n^2)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: 3⋅X₀ {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: X₀ {O(n)}
t₅, X₆: X₆ {O(n)}
t₅, X₇: X₀ {O(n)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₀⋅X₀+2⋅X₀ {O(n^2)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₀ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₀ {O(n)}
t₆, X₆: X₆ {O(n)}
t₆, X₇: X₀ {O(n)}
t₇, X₀: X₀ {O(n)}
t₇, X₁: X₀⋅X₀+2⋅X₀ {O(n^2)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₀ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: 0 {O(1)}
t₇, X₆: X₆ {O(n)}
t₇, X₇: X₀ {O(n)}
t₈, X₀: X₀ {O(n)}
t₈, X₁: X₀⋅X₀+2⋅X₀ {O(n^2)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: 4⋅X₀ {O(n)}
t₈, X₄: X₄ {O(n)}
t₈, X₅: X₀ {O(n)}
t₈, X₆: X₆ {O(n)}
t₈, X₇: X₀ {O(n)}
t₁₂, X₀: X₀ {O(n)}
t₁₂, X₁: X₂ {O(n)}
t₁₂, X₂: X₂ {O(n)}
t₁₂, X₃: X₄ {O(n)}
t₁₂, X₄: X₄ {O(n)}
t₁₂, X₅: X₆ {O(n)}
t₁₂, X₆: X₆ {O(n)}
t₁₂, X₇: X₀ {O(n)}