Initial Problem

Start: start0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: lM1, lZZ1, start, start0, stop
Transitions:
t₆: lM1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lM1(X₀, 1+X₁, X₂, X₃-1, X₄, X₅, X₆, X₇) :|: 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₁+X₃ ≤ X₆ ∧ 0 ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₅: lM1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lZZ1(X₀, 0, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀+X₃ ≤ X₆ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₄: lM1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₁ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₉: lZZ1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lM1(X₀, 1+X₁, X₂, X₃-1, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀+X₃ ≤ X₆ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₈: lZZ1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lZZ1(X₀, 0, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ 0 ∧ X₀+X₃ ≤ X₆ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₇: lZZ1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀+X₃ ≤ X₆ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₃ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₃: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lM1(X₀, 1, X₂, X₅-1, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₆ ∧ 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) :|: X₇ ≤ X₀ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₁: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₂: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, 0, X₂, X₅, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0 ∧ 0 ≤ X₆ ∧ X₆ ≤ 0
t₁₀: start0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → start(X₀, X₂, X₂, X₄, X₄, X₆, X₆, X₀)

Preprocessing

Cut unsatisfiable transition [t₇: lZZ1→stop; t₈: lZZ1→lZZ1]

Found invariant 1+X₇ ≤ X₆ ∧ 1+X₇ ≤ X₅ ∧ X₇ ≤ X₀ ∧ 1 ≤ X₇ ∧ 3 ≤ X₆+X₇ ∧ 3 ≤ X₅+X₇ ∧ 2 ≤ X₃+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1+X₁ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ 2 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ 1+X₃ ≤ X₆ ∧ 2 ≤ X₁+X₆ ∧ 2+X₁ ≤ X₆ ∧ 3 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₆ ∧ 2 ≤ X₅ ∧ 3 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2+X₁ ≤ X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ 1 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₁ ≤ 0 ∧ 1+X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location lZZ1

Found invariant X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ for location stop

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 ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ 2 ≤ X₅+X₇ ∧ 1 ≤ X₃+X₇ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1+X₃ ≤ X₆ ∧ 2 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ X₁ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location lM1

Problem after Preprocessing

Start: start0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: lM1, lZZ1, start, start0, stop
Transitions:
t₆: lM1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lM1(X₀, 1+X₁, X₂, X₃-1, X₄, X₅, X₆, X₇) :|: 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₁+X₃ ≤ X₆ ∧ 0 ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₅ ∧ 1+X₃ ≤ X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₀+X₇ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₆+X₇ ∧ X₁ ≤ X₅ ∧ X₁ ≤ X₆ ∧ X₁ ≤ X₇
t₅: lM1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lZZ1(X₀, 0, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀+X₃ ≤ X₆ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₅ ∧ 1+X₃ ≤ X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₀+X₇ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₆+X₇ ∧ X₁ ≤ X₅ ∧ X₁ ≤ X₆ ∧ X₁ ≤ X₇
t₄: lM1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₁ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₅ ∧ 1+X₃ ≤ X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₀+X₇ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₆+X₇ ∧ X₁ ≤ X₅ ∧ X₁ ≤ X₇
t₉: lZZ1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lM1(X₀, 1+X₁, X₂, X₃-1, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀+X₃ ≤ X₆ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1+X₀ ≤ X₅ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₇ ∧ 1+X₃ ≤ X₅ ∧ 1+X₃ ≤ X₆ ∧ 1+X₇ ≤ X₅ ∧ 1+X₇ ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₇ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₁+X₆ ∧ 2+X₁ ≤ X₅ ∧ 2+X₁ ≤ X₆ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₅ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₀+X₆ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₅+X₇ ∧ 3 ≤ X₆+X₇ ∧ 4 ≤ X₅+X₆
t₃: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lM1(X₀, 1, X₂, X₅-1, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₆ ∧ 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) :|: X₇ ≤ X₀ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₁: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₂: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, 0, X₂, X₅, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0 ∧ 0 ≤ X₆ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₁₀: start0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → start(X₀, X₂, X₂, X₄, X₄, X₆, X₆, X₀)

MPRF for transition t₅: lM1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lZZ1(X₀, 0, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀+X₃ ≤ X₆ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₅ ∧ 1+X₃ ≤ X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₀+X₇ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₆+X₇ ∧ X₁ ≤ X₅ ∧ X₁ ≤ X₆ ∧ X₁ ≤ X₇ of depth 1:

new bound:

X₆+1 {O(n)}

MPRF:

• lM1: [X₁+X₃]
• lZZ1: [X₃]

MPRF for transition t₆: lM1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lM1(X₀, 1+X₁, X₂, X₃-1, X₄, X₅, X₆, X₇) :|: 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₁+X₃ ≤ X₆ ∧ 0 ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₅ ∧ 1+X₃ ≤ X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₀+X₇ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₆+X₇ ∧ X₁ ≤ X₅ ∧ X₁ ≤ X₆ ∧ X₁ ≤ X₇ of depth 1:

new bound:

X₆+1 {O(n)}

MPRF:

• lM1: [1+X₃]
• lZZ1: [X₃]

MPRF for transition t₉: lZZ1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lM1(X₀, 1+X₁, X₂, X₃-1, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀+X₃ ≤ X₆ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1+X₀ ≤ X₅ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₇ ∧ 1+X₃ ≤ X₅ ∧ 1+X₃ ≤ X₆ ∧ 1+X₇ ≤ X₅ ∧ 1+X₇ ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₇ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₁+X₆ ∧ 2+X₁ ≤ X₅ ∧ 2+X₁ ≤ X₆ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₅ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₀+X₆ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₅+X₇ ∧ 3 ≤ X₆+X₇ ∧ 4 ≤ X₅+X₆ of depth 1:

new bound:

X₆ {O(n)}

MPRF:

• lM1: [X₃]
• lZZ1: [X₃]

All Bounds

Timebounds

Overall timebound:3⋅X₆+8 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: X₆+1 {O(n)}
t₆: X₆+1 {O(n)}
t₉: X₆ {O(n)}
t₁₀: 1 {O(1)}

Costbounds

Overall costbound: 3⋅X₆+8 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: X₆+1 {O(n)}
t₆: X₆+1 {O(n)}
t₉: X₆ {O(n)}
t₁₀: 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: X₂ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₄ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₆ {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₀ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: 0 {O(1)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: 0 {O(1)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: 0 {O(1)}
t₂, X₆: 0 {O(1)}
t₂, X₇: X₀ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: 1 {O(1)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₆ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₆ {O(n)}
t₃, X₆: X₆ {O(n)}
t₃, X₇: X₀ {O(n)}
t₄, X₀: 3⋅X₀ {O(n)}
t₄, X₁: X₆+5 {O(n)}
t₄, X₂: 3⋅X₂ {O(n)}
t₄, X₃: 0 {O(1)}
t₄, X₄: 3⋅X₄ {O(n)}
t₄, X₅: 3⋅X₆ {O(n)}
t₄, X₆: 3⋅X₆ {O(n)}
t₄, X₇: 3⋅X₀ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: 0 {O(1)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₆ {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: X₆ {O(n)}
t₅, X₆: X₆ {O(n)}
t₅, X₇: X₀ {O(n)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₆+3 {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₆ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₆ {O(n)}
t₆, X₆: X₆ {O(n)}
t₆, X₇: X₀ {O(n)}
t₉, X₀: X₀ {O(n)}
t₉, X₁: 1 {O(1)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: X₆ {O(n)}
t₉, X₄: X₄ {O(n)}
t₉, X₅: X₆ {O(n)}
t₉, X₆: X₆ {O(n)}
t₉, X₇: X₀ {O(n)}
t₁₀, X₀: X₀ {O(n)}
t₁₀, X₁: X₂ {O(n)}
t₁₀, X₂: X₂ {O(n)}
t₁₀, X₃: X₄ {O(n)}
t₁₀, X₄: X₄ {O(n)}
t₁₀, X₅: X₆ {O(n)}
t₁₀, X₆: X₆ {O(n)}
t₁₀, X₇: X₀ {O(n)}