Initial Problem

Start: f2
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars: J, K, L, M
Locations: f1, f2, f300
Transitions:
t₀: f1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f1(X₀, X₁, K, L, J, M, X₆, X₇, X₈) :|: 1 ≤ J ∧ 1+X₀ ≤ X₁
t₁: f1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f1(X₀, X₁, K, L, J, M, X₆, X₇, X₈) :|: 1+J ≤ 0 ∧ 1+X₀ ≤ X₁
t₂: f1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f1(X₀, X₁, K, L, 0, X₅, X₆, X₇, X₈) :|: 1+X₀ ≤ X₁
t₃: f1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f300(X₀, X₁, K, L, X₄, X₅, J, X₇, X₈) :|: X₁ ≤ X₀
t₄: f2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, K, L)

Preprocessing

Eliminate variables [K; L; M; X₂; X₃; X₄; X₅; X₆; X₇; X₈] that do not contribute to the problem

Found invariant X₁ ≤ X₀ for location f300

Problem after Preprocessing

Start: f2
Program_Vars: X₀, X₁
Temp_Vars: J
Locations: f1, f2, f300
Transitions:
t₉: f1(X₀, X₁) → f1(X₀, X₁) :|: 1 ≤ J ∧ 1+X₀ ≤ X₁
t₁₀: f1(X₀, X₁) → f1(X₀, X₁) :|: 1+J ≤ 0 ∧ 1+X₀ ≤ X₁
t₁₁: f1(X₀, X₁) → f1(X₀, X₁) :|: 1+X₀ ≤ X₁
t₁₂: f1(X₀, X₁) → f300(X₀, X₁) :|: X₁ ≤ X₀
t₁₃: f2(X₀, X₁) → f1(X₀, X₁)

Found invariant X₁ ≤ X₀ for location f300

Found invariant 1+X₀ ≤ X₁ for location f1_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₉: inf {Infinity}
t₁₀: inf {Infinity}
t₁₁: inf {Infinity}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₉: inf {Infinity}
t₁₀: inf {Infinity}
t₁₁: inf {Infinity}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}

Sizebounds

t₉, X₀: X₀ {O(n)}
t₉, X₁: X₁ {O(n)}
t₁₀, X₀: X₀ {O(n)}
t₁₀, X₁: X₁ {O(n)}
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)}
t₁₃, X₁: X₁ {O(n)}