Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: nondef.0
Locations: l0, l1, l2, l3, l4, l5, l6, l7, l8
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄) → l8(X₀, X₁, X₂, X₃, X₄)
t₂: l2(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, X₄) :|: 0 < X₀ ∧ X₀ < 100
t₃: l2(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0
t₄: l2(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: 100 ≤ X₀
t₆: l3(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: X₀ < 2⋅X₁+10
t₅: l3(X₀, X₁, X₂, X₃, X₄) → l6(X₀, X₁, X₂, X₃, X₄) :|: 2⋅X₁+10 ≤ X₀
t₁₁: l4(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁, X₂, X₃, X₄)
t₁₀: l5(X₀, X₁, X₂, X₃, X₄) → l2(X₂, X₀, X₂, X₃, X₄)
t₇: l6(X₀, X₁, X₂, X₃, X₄) → l7(X₀, X₁, X₂, X₃, X₄)
t₉: l7(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, nondef.0, X₃, X₄)
t₁: l8(X₀, X₁, X₂, X₃, X₄) → l2(X₄, X₃, X₂, X₃, X₄)

Preprocessing

Found invariant X₁ ≤ 44 ∧ X₁ ≤ 43+X₀ ∧ X₀+X₁ ≤ 143 ∧ X₀ ≤ 99 ∧ 1 ≤ X₀ for location l6

Found invariant X₁ ≤ 44 ∧ X₁ ≤ 43+X₀ ∧ X₀+X₁ ≤ 143 ∧ X₀ ≤ 99 ∧ 1 ≤ X₀ for location l7

Found invariant X₁ ≤ 44 ∧ X₁ ≤ 43+X₀ ∧ X₀+X₁ ≤ 143 ∧ X₀ ≤ 99 ∧ 1 ≤ X₀ for location l5

Found invariant X₀ ≤ 99 ∧ 1 ≤ X₀ for location l3

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: nondef.0
Locations: l0, l1, l2, l3, l4, l5, l6, l7, l8
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄) → l8(X₀, X₁, X₂, X₃, X₄)
t₂: l2(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, X₄) :|: 0 < X₀ ∧ X₀ < 100
t₃: l2(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0
t₄: l2(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: 100 ≤ X₀
t₆: l3(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: X₀ < 2⋅X₁+10 ∧ X₀ ≤ 99 ∧ 1 ≤ X₀
t₅: l3(X₀, X₁, X₂, X₃, X₄) → l6(X₀, X₁, X₂, X₃, X₄) :|: 2⋅X₁+10 ≤ X₀ ∧ X₀ ≤ 99 ∧ 1 ≤ X₀
t₁₁: l4(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁, X₂, X₃, X₄)
t₁₀: l5(X₀, X₁, X₂, X₃, X₄) → l2(X₂, X₀, X₂, X₃, X₄) :|: X₁ ≤ 44 ∧ X₁ ≤ 43+X₀ ∧ X₀+X₁ ≤ 143 ∧ X₀ ≤ 99 ∧ 1 ≤ X₀
t₇: l6(X₀, X₁, X₂, X₃, X₄) → l7(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ 44 ∧ X₁ ≤ 43+X₀ ∧ X₀+X₁ ≤ 143 ∧ X₀ ≤ 99 ∧ 1 ≤ X₀
t₉: l7(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, nondef.0, X₃, X₄) :|: X₁ ≤ 44 ∧ X₁ ≤ 43+X₀ ∧ X₀+X₁ ≤ 143 ∧ X₀ ≤ 99 ∧ 1 ≤ X₀
t₁: l8(X₀, X₁, X₂, X₃, X₄) → l2(X₄, X₃, X₂, X₃, X₄)

Analysing control-flow refined program

Found invariant X₄ ≤ 44 ∧ X₃+X₄ ≤ 88 ∧ 11+X₄ ≤ X₂ ∧ X₂+X₄ ≤ 143 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 88 ∧ 11+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 143 ∧ 1 ≤ X₄ ∧ X₃ ≤ 43+X₄ ∧ 13 ≤ X₂+X₄ ∧ X₂ ≤ 98+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ 43+X₄ ∧ 13 ≤ X₀+X₄ ∧ X₀ ≤ 98+X₄ ∧ X₃ ≤ 44 ∧ X₃ ≤ 32+X₂ ∧ X₂+X₃ ≤ 143 ∧ X₃ ≤ 43+X₁ ∧ X₁+X₃ ≤ 88 ∧ X₃ ≤ 32+X₀ ∧ X₀+X₃ ≤ 143 ∧ X₂ ≤ 99 ∧ X₂ ≤ 98+X₁ ∧ X₁+X₂ ≤ 143 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 198 ∧ 12 ≤ X₂ ∧ 13 ≤ X₁+X₂ ∧ 11+X₁ ≤ X₂ ∧ 24 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 44 ∧ 11+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 143 ∧ 1 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ X₀ ≤ 98+X₁ ∧ X₀ ≤ 99 ∧ 12 ≤ X₀ for location n_l6___3

Found invariant X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ for location l2

Found invariant X₄ ≤ 44 ∧ X₃+X₄ ≤ 88 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 88 ∧ 11+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 143 ∧ 1 ≤ X₄ ∧ X₃ ≤ 43+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ 43+X₄ ∧ 13 ≤ X₀+X₄ ∧ X₀ ≤ 98+X₄ ∧ X₃ ≤ 44 ∧ X₃ ≤ 43+X₁ ∧ X₁+X₃ ≤ 88 ∧ X₃ ≤ 32+X₀ ∧ X₀+X₃ ≤ 143 ∧ X₁ ≤ 44 ∧ 11+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 143 ∧ 1 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ X₀ ≤ 98+X₁ ∧ X₀ ≤ 99 ∧ 12 ≤ X₀ for location n_l5___1

Found invariant X₄ ≤ 99 ∧ X₃+X₄ ≤ 143 ∧ X₄ ≤ 98+X₂ ∧ X₂+X₄ ≤ 198 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 198 ∧ X₄ ≤ 98+X₀ ∧ X₀+X₄ ≤ 198 ∧ 1 ≤ X₄ ∧ X₃ ≤ 43+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ 98+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ 98+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ 98+X₄ ∧ X₃ ≤ 44 ∧ X₃ ≤ 43+X₂ ∧ X₂+X₃ ≤ 143 ∧ X₃ ≤ 43+X₁ ∧ X₁+X₃ ≤ 143 ∧ X₃ ≤ 43+X₀ ∧ X₀+X₃ ≤ 143 ∧ X₂ ≤ 99 ∧ X₂ ≤ 98+X₁ ∧ X₁+X₂ ≤ 198 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 198 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ 98+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 99 ∧ X₁ ≤ 98+X₀ ∧ X₀+X₁ ≤ 198 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 98+X₁ ∧ X₀ ≤ 99 ∧ 1 ≤ X₀ for location n_l3___4

Found invariant X₄ ≤ 99 ∧ X₃+X₄ ≤ 143 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 198 ∧ 1 ≤ X₄ ∧ X₃ ≤ 43+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ 98+X₄ ∧ X₃ ≤ 44 ∧ X₃ ≤ 43+X₁ ∧ X₁+X₃ ≤ 143 ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 99 ∧ 1 ≤ X₁ for location n_l2___5

Found invariant X₄ ≤ 99 ∧ X₃+X₄ ≤ 143 ∧ X₁+X₄ ≤ 143 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 198 ∧ 1 ≤ X₄ ∧ X₃ ≤ 43+X₄ ∧ X₁ ≤ 43+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 44 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 88 ∧ X₃ ≤ 43+X₀ ∧ X₀+X₃ ≤ 143 ∧ X₁ ≤ X₃ ∧ X₁ ≤ 44 ∧ X₁ ≤ 43+X₀ ∧ X₀+X₁ ≤ 143 ∧ X₀ ≤ 99 ∧ 1 ≤ X₀ for location n_l5___6

Found invariant X₄ ≤ 44 ∧ X₃+X₄ ≤ 88 ∧ 11+X₄ ≤ X₂ ∧ X₂+X₄ ≤ 143 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 88 ∧ 11+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 143 ∧ 1 ≤ X₄ ∧ X₃ ≤ 43+X₄ ∧ 13 ≤ X₂+X₄ ∧ X₂ ≤ 98+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ 43+X₄ ∧ 13 ≤ X₀+X₄ ∧ X₀ ≤ 98+X₄ ∧ X₃ ≤ 44 ∧ X₃ ≤ 32+X₂ ∧ X₂+X₃ ≤ 143 ∧ X₃ ≤ 43+X₁ ∧ X₁+X₃ ≤ 88 ∧ X₃ ≤ 32+X₀ ∧ X₀+X₃ ≤ 143 ∧ X₂ ≤ 99 ∧ X₂ ≤ 98+X₁ ∧ X₁+X₂ ≤ 143 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 198 ∧ 12 ≤ X₂ ∧ 13 ≤ X₁+X₂ ∧ 11+X₁ ≤ X₂ ∧ 24 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 44 ∧ 11+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 143 ∧ 1 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ X₀ ≤ 98+X₁ ∧ X₀ ≤ 99 ∧ 12 ≤ X₀ for location n_l7___2

Found invariant X₄ ≤ 99 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 198 ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₀ ≤ 99 ∧ 1 ≤ X₀ for location n_l3___9

Found invariant X₄ ≤ 99 ∧ X₃+X₄ ≤ 143 ∧ X₁+X₄ ≤ 143 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 198 ∧ 1 ≤ X₄ ∧ X₃ ≤ 43+X₄ ∧ X₁ ≤ 43+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 44 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 88 ∧ X₃ ≤ 43+X₀ ∧ X₀+X₃ ≤ 143 ∧ X₁ ≤ X₃ ∧ X₁ ≤ 44 ∧ X₁ ≤ 43+X₀ ∧ X₀+X₁ ≤ 143 ∧ X₀ ≤ 99 ∧ 1 ≤ X₀ for location n_l6___8

Found invariant X₃ ≤ 43+X₁ for location l1

Found invariant X₃ ≤ 43+X₁ for location l4

Found invariant X₄ ≤ 99 ∧ X₃+X₄ ≤ 143 ∧ X₁+X₄ ≤ 143 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 198 ∧ 1 ≤ X₄ ∧ X₃ ≤ 43+X₄ ∧ X₁ ≤ 43+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 44 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 88 ∧ X₃ ≤ 43+X₀ ∧ X₀+X₃ ≤ 143 ∧ X₁ ≤ X₃ ∧ X₁ ≤ 44 ∧ X₁ ≤ 43+X₀ ∧ X₀+X₁ ≤ 143 ∧ X₀ ≤ 99 ∧ 1 ≤ X₀ for location n_l7___7

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: inf {Infinity}
t₆: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₀: inf {Infinity}
t₇: inf {Infinity}
t₉: inf {Infinity}
t₁: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: inf {Infinity}
t₆: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₀: inf {Infinity}
t₇: inf {Infinity}
t₉: inf {Infinity}
t₁: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₂, X₀: 99 {O(1)}
t₂, X₁: X₃+99 {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₃, X₁: X₃+99 {O(n)}
t₃, X₃: 2⋅X₃ {O(n)}
t₃, X₄: 2⋅X₄ {O(n)}
t₄, X₁: X₃+99 {O(n)}
t₄, X₃: 2⋅X₃ {O(n)}
t₄, X₄: 2⋅X₄ {O(n)}
t₅, X₀: 99 {O(1)}
t₅, X₁: X₃+99 {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₆, X₀: 99 {O(1)}
t₆, X₁: X₃+99 {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₁₁, X₁: 3⋅X₃+297 {O(n)}
t₁₁, X₃: 5⋅X₃ {O(n)}
t₁₁, X₄: 5⋅X₄ {O(n)}
t₁₀, X₁: 99 {O(1)}
t₁₀, X₃: X₃ {O(n)}
t₁₀, X₄: X₄ {O(n)}
t₇, X₀: 99 {O(1)}
t₇, X₁: X₃+99 {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₉, X₀: 99 {O(1)}
t₉, X₁: X₃+99 {O(n)}
t₉, X₃: X₃ {O(n)}
t₉, X₄: X₄ {O(n)}
t₁, X₀: X₄ {O(n)}
t₁, X₁: X₃ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}