Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars: D
Locations: l0, l1, l2, l3
Transitions:
t₄: l0(X₀, X₁, X₂) → l1(X₀, X₁, X₂)
t₃: l1(X₀, X₁, X₂) → l2(X₀, X₁, D) :|: 20 ≤ X₁
t₂: l1(X₀, X₁, X₂) → l3(X₀, X₁, X₂) :|: X₁ ≤ 19
t₁: l3(X₀, X₁, X₂) → l1(X₀, X₁-1, X₂) :|: 30 ≤ X₀
t₀: l3(X₀, X₁, X₂) → l3(X₀, X₁-1, X₂) :|: X₀ ≤ 29

Preprocessing

Eliminate variables {D,X₂} that do not contribute to the problem

Found invariant 20 ≤ X₁ for location l2

Found invariant X₁ ≤ 19 for location l3

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1, l2, l3
Transitions:
t₁₁: l0(X₀, X₁) → l1(X₀, X₁)
t₁₂: l1(X₀, X₁) → l2(X₀, X₁) :|: 20 ≤ X₁
t₁₃: l1(X₀, X₁) → l3(X₀, X₁) :|: X₁ ≤ 19
t₁₄: l3(X₀, X₁) → l1(X₀, X₁-1) :|: 30 ≤ X₀ ∧ X₁ ≤ 19
t₁₅: l3(X₀, X₁) → l3(X₀, X₁-1) :|: X₀ ≤ 29 ∧ X₁ ≤ 19

Chain transitions t₁₄: l3→l1 and t₁₃: l1→l3 to t₄₂: l3→l3

Chain transitions t₁₁: l0→l1 and t₁₃: l1→l3 to t₄₃: l0→l3

Chain transitions t₁₁: l0→l1 and t₁₂: l1→l2 to t₄₄: l0→l2

Chain transitions t₁₄: l3→l1 and t₁₂: l1→l2 to t₄₅: l3→l2

Analysing control-flow refined program

Cut unsatisfiable transition t₄₅: l3→l2

Found invariant 20 ≤ X₁ for location l2

Found invariant X₁ ≤ 19 for location l3

CFR did not improve the program. Rolling back

CFR did not improve the program. Rolling back

Analysing control-flow refined program

Found invariant 20 ≤ X₁ for location l2

Found invariant X₁ ≤ 19 for location n_l3___4

Found invariant X₁ ≤ 18 ∧ 12+X₁ ≤ X₀ ∧ 30 ≤ X₀ for location n_l1___3

Found invariant X₁ ≤ 18 ∧ X₀+X₁ ≤ 47 ∧ X₀ ≤ 29 for location n_l3___2

Found invariant X₁ ≤ 18 ∧ 12+X₁ ≤ X₀ ∧ 30 ≤ X₀ for location n_l3___1

CFR did not improve the program. Rolling back

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: inf {Infinity}
t₁₄: inf {Infinity}
t₁₅: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: inf {Infinity}
t₁₄: inf {Infinity}
t₁₅: inf {Infinity}

Sizebounds

t₁₁, X₀: X₀ {O(n)}
t₁₁, X₁: X₁ {O(n)}
t₁₂, X₀: X₀ {O(n)}
t₁₂, X₁: X₁ {O(n)}
t₁₃, X₀: X₀ {O(n)}
t₁₄, X₀: X₀ {O(n)}
t₁₅, X₀: X₀ {O(n)}