Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀
Temp_Vars: L, M, N, O, P, Q, R
Locations: l0, l1, l2
Transitions:
t₂: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l1(X₀, L, M, N, O, O, X₆, X₇, P, Q, R) :|: 1 ≤ X₇
t₃: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l2(X₀, L, M, X₃, N, P, O, X₇, Q, N, R) :|: X₇ ≤ 0
t₀: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l1(X₀, L, M, N, X₅, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 2 ≤ X₀
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l2(X₀, L, M, X₃, X₄, X₅, N, X₇, X₈, X₉, X₁₀) :|: X₀ ≤ 1

Preprocessing

Eliminate variables {L,M,N,O,P,Q,R,X₁,X₂,X₃,X₄,X₅,X₆,X₈,X₉,X₁₀} that do not contribute to the problem

Found invariant 1 ≤ X₇ for location l1

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₇
Temp_Vars:
Locations: l0, l1, l2
Transitions:
t₉: l0(X₀, X₇) → l1(X₀, X₇) :|: 1 ≤ X₇
t₁₀: l0(X₀, X₇) → l2(X₀, X₇) :|: X₇ ≤ 0
t₁₁: l1(X₀, X₇) → l1(X₀, X₇) :|: 2 ≤ X₀ ∧ 1 ≤ X₇
t₁₂: l1(X₀, X₇) → l2(X₀, X₇) :|: X₀ ≤ 1 ∧ 1 ≤ X₇

Found invariant 1 ≤ X₇ for location l1

Analysing control-flow refined program

Found invariant 1 ≤ X₇ for location l1

Found invariant 1 ≤ X₇ ∧ 3 ≤ X₀+X₇ ∧ 2 ≤ X₀ for location n_l1___1

Found invariant 1 ≤ X₇ for location l1

Found invariant 1 ≤ X₇ ∧ 3 ≤ X₀+X₇ ∧ 2 ≤ X₀ for location n_l1___1

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: inf {Infinity}
t₁₂: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: inf {Infinity}
t₁₂: 1 {O(1)}

Sizebounds

t₉, X₀: X₀ {O(n)}
t₉, X₇: X₇ {O(n)}
t₁₀, X₀: X₀ {O(n)}
t₁₀, X₇: X₇ {O(n)}
t₁₁, X₀: X₀ {O(n)}
t₁₁, X₇: X₇ {O(n)}
t₁₂, X₀: X₀ {O(n)}
t₁₂, X₇: X₇ {O(n)}