Initial Problem

Start: l0
Program_Vars: X₀
Temp_Vars: B
Locations: l0, l1, l2
Transitions:
t₀: l0(X₀) → l1(0)
t₁: l1(X₀) → l1(X₀+1) :|: X₀ ≤ 41
t₂: l1(X₀) → l1(X₀+1) :|: X₀ ≤ 41 ∧ B+1 ≤ 0
t₃: l1(X₀) → l2(X₀) :|: 42 ≤ X₀

Preprocessing

Found invariant X₀ ≤ 42 ∧ 42 ≤ X₀ for location l2

Found invariant X₀ ≤ 42 ∧ 0 ≤ X₀ for location l1

Problem after Preprocessing

Start: l0
Program_Vars: X₀
Temp_Vars: B
Locations: l0, l1, l2
Transitions:
t₀: l0(X₀) → l1(0)
t₁: l1(X₀) → l1(X₀+1) :|: X₀ ≤ 41 ∧ X₀ ≤ 42 ∧ 0 ≤ X₀
t₂: l1(X₀) → l1(X₀+1) :|: X₀ ≤ 41 ∧ B+1 ≤ 0 ∧ X₀ ≤ 42 ∧ 0 ≤ X₀
t₃: l1(X₀) → l2(X₀) :|: 42 ≤ X₀ ∧ X₀ ≤ 42 ∧ 0 ≤ X₀

MPRF for transition t₁: l1(X₀) → l1(X₀+1) :|: X₀ ≤ 41 ∧ X₀ ≤ 42 ∧ 0 ≤ X₀ of depth 1:

new bound:

42 {O(1)}

MPRF for transition t₂: l1(X₀) → l1(X₀+1) :|: X₀ ≤ 41 ∧ B+1 ≤ 0 ∧ X₀ ≤ 42 ∧ 0 ≤ X₀ of depth 1:

new bound:

42 {O(1)}

All Bounds

Timebounds

Overall timebound:86 {O(1)}
t₀: 1 {O(1)}
t₁: 42 {O(1)}
t₂: 42 {O(1)}
t₃: 1 {O(1)}

Costbounds

Overall costbound: 86 {O(1)}
t₀: 1 {O(1)}
t₁: 42 {O(1)}
t₂: 42 {O(1)}
t₃: 1 {O(1)}

Sizebounds

t₀, X₀: 0 {O(1)}
t₁, X₀: 42 {O(1)}
t₂, X₀: 42 {O(1)}
t₃, X₀: 42 {O(1)}