Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: l0, l1, l2, l3, l4
Transitions:
t₁₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₂, X₂, X₄, X₄, X₆, X₆, X₀)
t₆: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, 1+X₁, X₂, X₃-1, X₄, X₅, X₆, X₇) :|: X₁+1 ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₃+X₁ ≤ X₆ ∧ 1 ≤ X₁ ∧ 0 ≤ X₃ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅
t₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, 0, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ X₃+X₀ ≤ X₆ ∧ 1 ≤ X₀ ∧ 0 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅
t₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁ ≤ X₀ ∧ X₁ ≤ X₆ ∧ 1 ≤ X₁ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅
t₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, 1+X₁, X₂, X₃-1, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ X₀+X₃ ≤ X₆ ∧ 2 ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅
t₈: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, 0, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ X₀ ≤ 0 ∧ X₀+X₃ ≤ X₆ ∧ 2 ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅
t₇: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ 0 ∧ X₀+X₃ ≤ X₆ ∧ 2 ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅
t₃: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, 1, X₂, X₅-1, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₆ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇
t₀: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇
t₁: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₆+1 ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇
t₂: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, 0, X₂, X₅, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ X₅ ≤ 0 ∧ 0 ≤ X₅ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇

Preprocessing

Cut unsatisfiable transition t₇: l2→l3

Cut unsatisfiable transition t₈: l2→l2

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 l2

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 l1

Found invariant X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ for location l4

Found invariant X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ for location l3

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: l0, l1, l2, l3, l4
Transitions:
t₁₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₂, X₂, X₄, X₄, X₆, X₆, X₀)
t₆: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, 1+X₁, X₂, X₃-1, X₄, X₅, X₆, X₇) :|: X₁+1 ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₃+X₁ ≤ X₆ ∧ 1 ≤ X₁ ∧ 0 ≤ X₃ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ 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
t₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, 0, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ X₃+X₀ ≤ X₆ ∧ 1 ≤ X₀ ∧ 0 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ 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
t₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁ ≤ X₀ ∧ X₁ ≤ X₆ ∧ 1 ≤ X₁ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ 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
t₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, 1+X₁, X₂, X₃-1, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ X₀+X₃ ≤ X₆ ∧ 2 ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ 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
t₃: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, 1, X₂, X₅-1, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₆ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₀: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₁: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₆+1 ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₂: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, 0, X₂, X₅, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ X₅ ≤ 0 ∧ 0 ≤ X₅ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂

MPRF for transition t₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, 0, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ X₃+X₀ ≤ X₆ ∧ 1 ≤ X₀ ∧ 0 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ 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 of depth 1:

new bound:

X₆+1 {O(n)}

MPRF:

l2 [X₃ ]
l1 [X₃+1 ]

MPRF for transition t₆: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, 1+X₁, X₂, X₃-1, X₄, X₅, X₆, X₇) :|: X₁+1 ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₃+X₁ ≤ X₆ ∧ 1 ≤ X₁ ∧ 0 ≤ X₃ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ 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 of depth 1:

new bound:

X₆+1 {O(n)}

MPRF:

l2 [X₃ ]
l1 [X₃+1 ]

MPRF for transition t₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, 1+X₁, X₂, X₃-1, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ X₀+X₃ ≤ X₆ ∧ 2 ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ 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 of depth 1:

new bound:

X₆ {O(n)}

MPRF:

l2 [X₃ ]
l1 [X₃ ]

All Bounds

Timebounds

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

Costbounds

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

Sizebounds

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)}
t₄, X₀: 5⋅X₀ {O(n)}
t₄, X₁: X₆+5 {O(n)}
t₄, X₂: 5⋅X₂ {O(n)}
t₄, X₃: 0 {O(1)}
t₄, X₄: 5⋅X₄ {O(n)}
t₄, X₅: 5⋅X₆ {O(n)}
t₄, X₆: 5⋅X₆ {O(n)}
t₄, X₇: 5⋅X₀ {O(n)}
t₅, X₀: 2⋅X₀ {O(n)}
t₅, X₁: 0 {O(1)}
t₅, X₂: 2⋅X₂ {O(n)}
t₅, X₃: 2⋅X₆ {O(n)}
t₅, X₄: 2⋅X₄ {O(n)}
t₅, X₅: 2⋅X₆ {O(n)}
t₅, X₆: 2⋅X₆ {O(n)}
t₅, X₇: 2⋅X₀ {O(n)}
t₆, X₀: 2⋅X₀ {O(n)}
t₆, X₁: X₆+3 {O(n)}
t₆, X₂: 2⋅X₂ {O(n)}
t₆, X₃: 2⋅X₆ {O(n)}
t₆, X₄: 2⋅X₄ {O(n)}
t₆, X₅: 2⋅X₆ {O(n)}
t₆, X₆: 2⋅X₆ {O(n)}
t₆, X₇: 2⋅X₀ {O(n)}
t₉, X₀: 2⋅X₀ {O(n)}
t₉, X₁: 1 {O(1)}
t₉, X₂: 2⋅X₂ {O(n)}
t₉, X₃: 2⋅X₆ {O(n)}
t₉, X₄: 2⋅X₄ {O(n)}
t₉, X₅: 2⋅X₆ {O(n)}
t₉, X₆: 2⋅X₆ {O(n)}
t₉, X₇: 2⋅X₀ {O(n)}
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)}