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
new bound:
16⋅X₂+8⋅X₃+8⋅X₄+9 {O(n)}
MPRF:
l3 [-X₀-X₁ ; X₄-2⋅X₀-X₁ ]
l1 [1-X₀-X₁ ; X₄-X₀ ]
new bound:
16⋅X₂+8⋅X₃+8⋅X₄+9 {O(n)}
MPRF:
l3 [1-X₀-X₁ ; X₄-X₀ ]
l1 [1-X₀-X₁ ; X₄-X₀ ]
Overall timebound:16⋅X₃+16⋅X₄+32⋅X₂+23 {O(n)}
t₀: 1 {O(1)}
t₂: 16⋅X₂+8⋅X₃+8⋅X₄+9 {O(n)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₁: 1 {O(1)}
t₅: 16⋅X₂+8⋅X₃+8⋅X₄+9 {O(n)}
t₆: 1 {O(1)}
Overall costbound: 16⋅X₃+16⋅X₄+32⋅X₂+23 {O(n)}
t₀: 1 {O(1)}
t₂: 16⋅X₂+8⋅X₃+8⋅X₄+9 {O(n)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₁: 1 {O(1)}
t₅: 16⋅X₂+8⋅X₃+8⋅X₄+9 {O(n)}
t₆: 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)}
t₂, X₀: 136⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₃⋅X₄+152⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₄+162⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₃+256⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₂⋅X₂+256⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₂⋅X₄+272⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₂⋅X₃+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅305⋅X₂+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅64⋅X₄⋅X₄+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅72⋅X₃⋅X₃+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅90 {O(EXP)}
t₂, X₁: 16⋅X₂+8⋅X₄+9⋅X₃+9 {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, 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: 136⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₃⋅X₄+152⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₄+162⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₃+256⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₂⋅X₂+256⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₂⋅X₄+272⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₂⋅X₃+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅305⋅X₂+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅64⋅X₄⋅X₄+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅72⋅X₃⋅X₃+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅90+X₂ {O(EXP)}
t₄, X₁: 10⋅X₃+16⋅X₂+8⋅X₄+9 {O(n)}
t₄, X₂: 2⋅X₂ {O(n)}
t₄, X₃: 2⋅X₃ {O(n)}
t₄, X₄: 2⋅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)}
t₅, X₀: 136⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₃⋅X₄+152⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₄+162⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₃+256⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₂⋅X₂+256⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₂⋅X₄+272⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₂⋅X₃+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅305⋅X₂+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅64⋅X₄⋅X₄+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅72⋅X₃⋅X₃+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅90 {O(EXP)}
t₅, X₁: 16⋅X₂+8⋅X₄+9⋅X₃+9 {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₆, X₀: 136⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₃⋅X₄+152⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₄+162⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₃+256⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₂⋅X₂+256⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₂⋅X₄+272⋅2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅X₂⋅X₃+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅305⋅X₂+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅64⋅X₄⋅X₄+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅72⋅X₃⋅X₃+2^(16⋅X₂+8⋅X₃+8⋅X₄+9)⋅90+2⋅X₂ {O(EXP)}
t₆, X₁: 11⋅X₃+16⋅X₂+8⋅X₄+9 {O(n)}
t₆, X₂: 3⋅X₂ {O(n)}
t₆, X₃: 3⋅X₃ {O(n)}
t₆, X₄: 3⋅X₄ {O(n)}