Initial Problem

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

Preprocessing

Eliminate variables [I; J; K; X₂; X₃; X₄; X₅; X₆; X₇] that do not contribute to the problem

Found invariant X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location f300

Problem after Preprocessing

Start: f2
Program_Vars: X₀, X₁
Temp_Vars:
Locations: f1, f2, f300
Transitions:
t₇: f1(X₀, X₁) → f1(X₀, X₁) :|: 1+X₁ ≤ X₀
t₈: f1(X₀, X₁) → f1(X₀, X₁) :|: 1+X₀ ≤ X₁
t₉: f1(X₀, X₁) → f300(X₀, X₀) :|: X₁ ≤ X₀ ∧ X₀ ≤ X₁
t₁₀: f2(X₀, X₁) → f1(X₀, X₁)

Found invariant 1+X₁ ≤ X₀ for location f1_v2

Found invariant X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location f300

Found invariant 1+X₀ ≤ X₁ for location f1_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₇: inf {Infinity}
t₈: inf {Infinity}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₇: inf {Infinity}
t₈: inf {Infinity}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}

Sizebounds

t₇, X₀: X₀ {O(n)}
t₇, X₁: X₁ {O(n)}
t₈, X₀: X₀ {O(n)}
t₈, X₁: X₁ {O(n)}
t₉, X₀: X₀ {O(n)}
t₉, X₁: X₀ {O(n)}
t₁₀, X₀: X₀ {O(n)}
t₁₀, X₁: X₁ {O(n)}