Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃, X₄)
t₂: l1(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀+X₁ ∧ X₀ ≤ X₄
t₃: l1(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: X₀+X₁ < 0
t₄: l1(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: X₄ < X₀
t₁: l2(X₀, X₁, X₂, X₃, X₄) → l1(X₂, X₃, X₂, X₃, X₄)
t₅: l3(X₀, X₁, X₂, X₃, X₄) → l1(2⋅X₀+X₁, X₁+1, X₂, X₃, X₄)
t₆: l4(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄)
Found invariant X₃ ≤ X₁ for location l5
Found invariant X₃ ≤ X₁ for location l1
Found invariant X₃ ≤ X₁ for location l4
Found invariant 0 ≤ X₁+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₀+X₁ for location l3
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃, X₄)
t₂: l1(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀+X₁ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁
t₃: l1(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: X₀+X₁ < 0 ∧ X₃ ≤ X₁
t₄: l1(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: X₄ < X₀ ∧ X₃ ≤ X₁
t₁: l2(X₀, X₁, X₂, X₃, X₄) → l1(X₂, X₃, X₂, X₃, X₄)
t₅: l3(X₀, X₁, X₂, X₃, X₄) → l1(2⋅X₀+X₁, X₁+1, X₂, X₃, X₄) :|: 0 ≤ X₁+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₀+X₁
t₆: l4(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄) :|: X₃ ≤ X₁
Found invariant 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂+X₃ ∧ X₁ ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₀+X₁ for location n_l3___3
Found invariant 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₂ for location n_l1___2
Found invariant X₃ ≤ X₁ ∧ X₂ ≤ X₀ for location l5
Found invariant X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ for location l1
Found invariant X₃ ≤ X₁ ∧ X₂ ≤ X₀ for location l4
Found invariant 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₁ for location n_l3___1
new bound:
2⋅X₂+2⋅X₃+X₄+1 {O(n)}
MPRF:
n_l3___1 [X₄-X₀ ]
n_l1___2 [X₄+1-X₀ ]
new bound:
2⋅X₂+2⋅X₃+X₄+1 {O(n)}
MPRF:
n_l3___1 [X₄+1-X₀ ]
n_l1___2 [X₄+1-X₀ ]
new bound:
2⋅X₄+4⋅X₂+4⋅X₃+2 {O(n)}
cfr-program:
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: l0, l1, l2, l4, l5, n_l1___2, n_l3___1, n_l3___3
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃, X₄)
t₃: l1(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: X₀+X₁ < 0 ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂
t₄: l1(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: X₄ < X₀ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂
t₄₇: l1(X₀, X₁, X₂, X₃, X₄) → n_l3___3(X₀, X₁, X₂, X₃, X₄) :|: X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₃ ≤ X₁ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂
t₁: l2(X₀, X₁, X₂, X₃, X₄) → l1(X₂, X₃, X₂, X₃, X₄)
t₆: l4(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄) :|: X₃ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₂ ≤ X₀
t₅₄: n_l1___2(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: X₄ < X₀ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₂
t₄₆: n_l1___2(X₀, X₁, X₂, X₃, X₄) → n_l3___1(X₀, X₁, X₂, X₃, X₄) :|: X₃ ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁+2⋅X₄ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₃ ≤ X₁ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₂
t₄₈: n_l3___1(X₀, X₁, X₂, X₃, X₄) → n_l1___2(2⋅X₀+X₁, X₁+1, X₂, X₃, X₄) :|: X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₁ ∧ X₃ ≤ X₁ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₁
t₄₉: n_l3___3(X₀, X₁, X₂, X₃, X₄) → n_l1___2(2⋅X₀+X₁, X₁+1, X₂, X₃, X₄) :|: X₀ ≤ X₄ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₃ ≤ X₁ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂+X₃ ∧ X₁ ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₀+X₁
Overall timebound:2⋅X₄+4⋅X₂+4⋅X₃+10 {O(n)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₄₇: 1 {O(1)}
t₁: 1 {O(1)}
t₆: 1 {O(1)}
t₄₆: 2⋅X₂+2⋅X₃+X₄+1 {O(n)}
t₅₄: 1 {O(1)}
t₄₈: 2⋅X₂+2⋅X₃+X₄+1 {O(n)}
t₄₉: 1 {O(1)}
Overall costbound: 2⋅X₄+4⋅X₂+4⋅X₃+10 {O(n)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₄₇: 1 {O(1)}
t₁: 1 {O(1)}
t₆: 1 {O(1)}
t₄₆: 2⋅X₂+2⋅X₃+X₄+1 {O(n)}
t₅₄: 1 {O(1)}
t₄₈: 2⋅X₂+2⋅X₃+X₄+1 {O(n)}
t₄₉: 1 {O(1)}
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)}
t₃, X₀: X₂ {O(n)}
t₃, X₁: X₃ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₄, X₀: X₂ {O(n)}
t₄, X₁: X₃ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄₇, X₀: X₂ {O(n)}
t₄₇, X₁: X₃ {O(n)}
t₄₇, X₂: X₂ {O(n)}
t₄₇, X₃: X₃ {O(n)}
t₄₇, X₄: X₄ {O(n)}
t₁, X₀: X₂ {O(n)}
t₁, X₁: X₃ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₆, X₀: 10⋅2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₂+10⋅2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₂⋅X₃+12⋅2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₃+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4⋅X₂⋅X₂+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4⋅X₂⋅X₄+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4⋅X₄+2^(2⋅X₂+2⋅X₃+X₄+1)⋅5⋅X₃⋅X₄+2^(2⋅X₂+2⋅X₃+X₄+1)⋅6⋅X₃⋅X₃+2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₄⋅X₄+2⋅X₃+4⋅X₂ {O(EXP)}
t₆, X₁: 2⋅X₂+6⋅X₃+X₄+3 {O(n)}
t₆, X₂: 4⋅X₂ {O(n)}
t₆, X₃: 4⋅X₃ {O(n)}
t₆, X₄: 4⋅X₄ {O(n)}
t₄₆, X₀: 10⋅2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₂+10⋅2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₂⋅X₃+12⋅2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₃+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4⋅X₂⋅X₂+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4⋅X₂⋅X₄+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4⋅X₄+2^(2⋅X₂+2⋅X₃+X₄+1)⋅5⋅X₃⋅X₄+2^(2⋅X₂+2⋅X₃+X₄+1)⋅6⋅X₃⋅X₃+2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₄⋅X₄ {O(EXP)}
t₄₆, X₁: 2⋅X₂+3⋅X₃+X₄+2 {O(n)}
t₄₆, X₂: X₂ {O(n)}
t₄₆, X₃: X₃ {O(n)}
t₄₆, X₄: X₄ {O(n)}
t₅₄, X₀: 10⋅2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₂+10⋅2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₂⋅X₃+12⋅2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₃+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4⋅X₂⋅X₂+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4⋅X₂⋅X₄+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4⋅X₄+2^(2⋅X₂+2⋅X₃+X₄+1)⋅5⋅X₃⋅X₄+2^(2⋅X₂+2⋅X₃+X₄+1)⋅6⋅X₃⋅X₃+2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₄⋅X₄+2⋅X₂+2⋅X₃ {O(EXP)}
t₅₄, X₁: 2⋅X₂+4⋅X₃+X₄+3 {O(n)}
t₅₄, X₂: 2⋅X₂ {O(n)}
t₅₄, X₃: 2⋅X₃ {O(n)}
t₅₄, X₄: 2⋅X₄ {O(n)}
t₄₈, X₀: 10⋅2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₂+10⋅2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₂⋅X₃+12⋅2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₃+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4⋅X₂⋅X₂+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4⋅X₂⋅X₄+2^(2⋅X₂+2⋅X₃+X₄+1)⋅4⋅X₄+2^(2⋅X₂+2⋅X₃+X₄+1)⋅5⋅X₃⋅X₄+2^(2⋅X₂+2⋅X₃+X₄+1)⋅6⋅X₃⋅X₃+2^(2⋅X₂+2⋅X₃+X₄+1)⋅X₄⋅X₄ {O(EXP)}
t₄₈, X₁: 2⋅X₂+3⋅X₃+X₄+2 {O(n)}
t₄₈, X₂: X₂ {O(n)}
t₄₈, X₃: X₃ {O(n)}
t₄₈, X₄: X₄ {O(n)}
t₄₉, X₀: 2⋅X₂+2⋅X₃ {O(n)}
t₄₉, X₁: X₃+1 {O(n)}
t₄₉, X₂: X₂ {O(n)}
t₄₉, X₃: X₃ {O(n)}
t₄₉, X₄: X₄ {O(n)}