Initial Problem

Start: l0
Program_Vars: X₀, X₁
Temp_Vars: C
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₁₁: l0(X₀, X₁) → l1(C, X₁)
t₂: l1(X₀, X₁) → l2(X₀, C) :|: X₀ ≤ 5 ∧ C+1 ≤ 0
t₃: l1(X₀, X₁) → l2(X₀, C) :|: X₀ ≤ 5 ∧ 1 ≤ C
t₉: l1(X₀, X₁) → l5(X₀, 0) :|: X₀ ≤ 5
t₁₀: l1(X₀, X₁) → l5(X₀, X₁) :|: 6 ≤ X₀
t₄: l2(X₀, X₁) → l1(X₀+1, X₁) :|: 6 ≤ X₀
t₈: l2(X₀, X₁) → l1(X₀+1, X₁) :|: X₀ ≤ 5
t₁: l3(X₀, X₁) → l3(X₀, X₁)
t₀: l4(X₀, X₁) → l3(X₀, X₁)
t₇: l5(X₀, X₁) → l1(X₀, X₁) :|: X₀ ≤ 2
t₆: l5(X₀, X₁) → l5(X₀-1, X₁) :|: 3 ≤ X₀
t₅: l7(X₀, X₁) → l6(X₀, X₁)

Preprocessing

Cut unreachable locations [l3; l4; l6; l7] from the program graph

Cut unsatisfiable transition t₄: l2→l1

Eliminate variables {X₁} that do not contribute to the problem

Found invariant X₀ ≤ 5 for location l2

Problem after Preprocessing

Start: l0
Program_Vars: X₀
Temp_Vars: C
Locations: l0, l1, l2, l5
Transitions:
t₂₄: l0(X₀) → l1(C)
t₂₅: l1(X₀) → l2(X₀) :|: X₀ ≤ 5 ∧ C+1 ≤ 0
t₂₆: l1(X₀) → l2(X₀) :|: X₀ ≤ 5 ∧ 1 ≤ C
t₂₇: l1(X₀) → l5(X₀) :|: X₀ ≤ 5
t₂₈: l1(X₀) → l5(X₀) :|: 6 ≤ X₀
t₂₉: l2(X₀) → l1(X₀+1) :|: X₀ ≤ 5 ∧ X₀ ≤ 5
t₃₁: l5(X₀) → l1(X₀) :|: X₀ ≤ 2
t₃₀: l5(X₀) → l5(X₀-1) :|: 3 ≤ X₀

Analysing control-flow refined program

Found invariant 2 ≤ X₀ for location n_l5___1

Found invariant 6 ≤ X₀ for location n_l5___9

Found invariant X₀ ≤ 2 for location n_l2___5

Found invariant X₀ ≤ 2 for location n_l1___7

Found invariant X₀ ≤ 3 for location n_l1___3

Found invariant X₀ ≤ 5 for location n_l2___11

Found invariant X₀ ≤ 5 for location n_l5___10

Found invariant 5 ≤ X₀ for location n_l5___2

Found invariant X₀ ≤ 4 ∧ 2 ≤ X₀ for location n_l5___6

Found invariant X₀ ≤ 6 for location n_l1___8

Found invariant X₀ ≤ 2 for location n_l5___4

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₂₄: 1 {O(1)}
t₂₅: inf {Infinity}
t₂₆: inf {Infinity}
t₂₇: inf {Infinity}
t₂₈: inf {Infinity}
t₂₉: inf {Infinity}
t₃₀: inf {Infinity}
t₃₁: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
t₂₄: 1 {O(1)}
t₂₅: inf {Infinity}
t₂₆: inf {Infinity}
t₂₇: inf {Infinity}
t₂₈: inf {Infinity}
t₂₉: inf {Infinity}
t₃₀: inf {Infinity}
t₃₁: inf {Infinity}

Sizebounds