Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂, X₃)
t₂: l1(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃) :|: X₀ < 10
t₃: l1(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: 10 ≤ X₀
t₁: l2(X₀, X₁, X₂, X₃) → l1(X₂, X₃, X₂, X₃)
t₄: l3(X₀, X₁, X₂, X₃) → l1(-X₁, X₁+1, X₂, X₃)
t₅: l4(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃)

Preprocessing

Found invariant X₃ ≤ X₁ ∧ 10 ≤ X₀ for location l5

Found invariant X₃ ≤ X₁ for location l1

Found invariant X₃ ≤ X₁ ∧ 10 ≤ X₀ for location l4

Found invariant X₃ ≤ X₁ ∧ X₀ ≤ 9 for location l3

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂, X₃)
t₂: l1(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃) :|: X₀ < 10 ∧ X₃ ≤ X₁
t₃: l1(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: 10 ≤ X₀ ∧ X₃ ≤ X₁
t₁: l2(X₀, X₁, X₂, X₃) → l1(X₂, X₃, X₂, X₃)
t₄: l3(X₀, X₁, X₂, X₃) → l1(-X₁, X₁+1, X₂, X₃) :|: X₃ ≤ X₁ ∧ X₀ ≤ 9
t₅: l4(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₃ ≤ X₁ ∧ 10 ≤ X₀

Analysing control-flow refined program

Cut unsatisfiable transition t₄₇: n_l1___2→l4

Found invariant 1+X₃ ≤ X₁ ∧ X₀+X₃ ≤ 0 ∧ X₁ ≤ 1+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 1 ∧ 1 ≤ X₀+X₁ for location n_l1___4

Found invariant 1+X₃ ≤ X₁ ∧ X₀+X₃ ≤ 0 ∧ 0 ≤ 9+X₃ ∧ X₂ ≤ 18+X₃ ∧ 0 ≤ 17+X₁+X₃ ∧ X₁ ≤ 1+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ 18+X₃ ∧ X₂ ≤ 9 ∧ X₂ ≤ 17+X₁ ∧ X₀+X₂ ≤ 18 ∧ X₀+X₁ ≤ 1 ∧ 0 ≤ 8+X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ 17+X₁ ∧ X₀ ≤ 9 for location n_l3___3

Found invariant X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 9 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 18 ∧ X₀ ≤ X₂ ∧ X₀ ≤ 9 for location n_l3___5

Found invariant 2+X₃ ≤ X₁ ∧ 1+X₀+X₃ ≤ 0 ∧ 0 ≤ 9+X₃ ∧ X₂ ≤ 18+X₃ ∧ 0 ≤ 16+X₁+X₃ ∧ X₀ ≤ 17+X₃ ∧ X₂ ≤ 9 ∧ X₂ ≤ 16+X₁ ∧ X₀+X₂ ≤ 17 ∧ X₀+X₁ ≤ 1 ∧ 0 ≤ 7+X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ 15+X₁ ∧ X₀ ≤ 8 for location n_l1___2

Found invariant X₃ ≤ X₁ ∧ X₁ ≤ 1+X₃ ∧ X₂ ≤ X₀ ∧ 10 ≤ X₀ for location l5

Found invariant X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ for location l1

Found invariant X₃ ≤ X₁ ∧ X₁ ≤ 1+X₃ ∧ X₂ ≤ X₀ ∧ 10 ≤ X₀ for location l4

Found invariant 2+X₃ ≤ X₁ ∧ 1+X₀+X₃ ≤ 0 ∧ 0 ≤ 9+X₃ ∧ X₂ ≤ 18+X₃ ∧ 0 ≤ 16+X₁+X₃ ∧ X₀ ≤ 17+X₃ ∧ X₂ ≤ 9 ∧ X₂ ≤ 16+X₁ ∧ X₀+X₂ ≤ 17 ∧ X₀+X₁ ≤ 1 ∧ 0 ≤ 7+X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ 15+X₁ ∧ X₀ ≤ 8 for location n_l3___1

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₁: 1 {O(1)}
t₄: inf {Infinity}
t₅: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₁: 1 {O(1)}
t₄: inf {Infinity}
t₅: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₃, X₂: 2⋅X₂ {O(n)}
t₃, X₃: 2⋅X₃ {O(n)}
t₁, X₀: X₂ {O(n)}
t₁, X₁: X₃ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₅, X₂: 2⋅X₂ {O(n)}
t₅, X₃: 2⋅X₃ {O(n)}