Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef_0
Locations: l0, l1, l10, l11, l12, l13, l14, l15, l16, l17, l18, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₆: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₇: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₈: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₉: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₀: l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l15(X₀, X₄, X₅, X₆, X₄, X₅, X₆)
t₁₁: l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ X₁
t₁₂: l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l17(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ < X₂
t₁₃: l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₉: l17(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l18(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₇: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l15(X₀, X₁+1, X₂+X₁+1, X₃, X₄, X₅, X₆)
t₁₈: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l15(X₀, X₁-X₃, X₂+(X₃)², X₃-1, X₄, X₅, X₆)
t₁₄: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(nondef_0, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₅: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₀
t₁₆: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0
t₅: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Preprocessing

Found invariant X₃ ≤ X₆ ∧ X₂ ≤ X₁ ∧ X₀ ≤ 0 for location l6

Found invariant X₃ ≤ X₆ for location l15

Found invariant X₃ ≤ X₆ ∧ 1+X₁ ≤ X₂ for location l17

Found invariant X₃ ≤ X₆ ∧ X₂ ≤ X₁ for location l7

Found invariant X₃ ≤ X₆ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location l5

Found invariant X₃ ≤ X₆ ∧ X₂ ≤ X₁ for location l8

Found invariant X₃ ≤ X₆ ∧ X₂ ≤ X₁ for location l16

Found invariant X₃ ≤ X₆ ∧ 1+X₁ ≤ X₂ for location l18

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef_0
Locations: l0, l1, l10, l11, l12, l13, l14, l15, l16, l17, l18, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₆: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₇: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₈: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₉: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₀: l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l15(X₀, X₄, X₅, X₆, X₄, X₅, X₆)
t₁₁: l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ X₁ ∧ X₃ ≤ X₆
t₁₂: l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l17(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ < X₂ ∧ X₃ ≤ X₆
t₁₃: l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₃ ≤ X₆ ∧ X₂ ≤ X₁
t₁₉: l17(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l18(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₃ ≤ X₆ ∧ 1+X₁ ≤ X₂
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₇: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l15(X₀, X₁+1, X₂+X₁+1, X₃, X₄, X₅, X₆) :|: X₃ ≤ X₆ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀
t₁₈: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l15(X₀, X₁-X₃, X₂+(X₃)², X₃-1, X₄, X₅, X₆) :|: X₃ ≤ X₆ ∧ X₂ ≤ X₁ ∧ X₀ ≤ 0
t₁₄: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(nondef_0, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₃ ≤ X₆ ∧ X₂ ≤ X₁
t₁₅: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₀ ∧ X₃ ≤ X₆ ∧ X₂ ≤ X₁
t₁₆: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0 ∧ X₃ ≤ X₆ ∧ X₂ ≤ X₁
t₅: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Analysing control-flow refined program

Found invariant 1+X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₀ ≤ 0 for location n_l6___1

Found invariant X₆ ≤ X₃ ∧ X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₅ ≤ X₁ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₁ ∧ X₂ ≤ X₄ ∧ X₁ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₀ ≤ 0 for location n_l6___13

Found invariant 1+X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₂ ≤ X₁ for location n_l8___3

Found invariant X₆ ≤ X₃ ∧ X₃ ≤ X₆ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ for location l15

Found invariant X₆ ≤ X₃ ∧ X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₅ ≤ X₁ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₁ ∧ X₂ ≤ X₄ ∧ X₁ ≤ X₄ ∧ X₂ ≤ X₁ for location n_l7___16

Found invariant 1+X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₀ ≤ 0 for location n_l15___6

Found invariant X₆ ≤ X₃ ∧ X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₅ ≤ X₁ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₁ ∧ X₂ ≤ X₄ ∧ X₁ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location n_l5___14

Found invariant 1+X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location n_l5___2

Found invariant X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location n_l5___8

Found invariant X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1 ≤ X₀ for location n_l15___12

Found invariant X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location n_l16___11

Found invariant X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location n_l7___10

Found invariant X₃ ≤ X₆ ∧ 1+X₁ ≤ X₂ for location l17

Found invariant 1+X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₀ ≤ 0 for location n_l16___5

Found invariant X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₂ ≤ X₁ for location n_l8___9

Found invariant X₆ ≤ X₃ ∧ X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₅ ≤ X₁ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₁ ∧ X₂ ≤ X₄ ∧ X₁ ≤ X₄ ∧ X₂ ≤ X₁ for location n_l16___17

Found invariant X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₀ ≤ 0 for location n_l6___7

Found invariant X₆ ≤ X₃ ∧ X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₅ ≤ X₁ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₁ ∧ X₂ ≤ X₄ ∧ X₁ ≤ X₄ ∧ X₂ ≤ X₁ for location n_l8___15

Found invariant X₃ ≤ X₆ ∧ 1+X₁ ≤ X₂ for location l18

Found invariant 1+X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₀ ≤ 0 for location n_l7___4

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: inf {Infinity}
t₁₂: 1 {O(1)}
t₁₃: inf {Infinity}
t₁₉: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₄: 1 {O(1)}
t₁₇: inf {Infinity}
t₁₈: inf {Infinity}
t₁₄: inf {Infinity}
t₁₅: inf {Infinity}
t₁₆: inf {Infinity}
t₅: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: inf {Infinity}
t₁₂: 1 {O(1)}
t₁₃: inf {Infinity}
t₁₉: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₄: 1 {O(1)}
t₁₇: inf {Infinity}
t₁₈: inf {Infinity}
t₁₄: inf {Infinity}
t₁₅: inf {Infinity}
t₁₆: inf {Infinity}
t₅: 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)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₆ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₃, X₆: X₆ {O(n)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₅ {O(n)}
t₆, X₆: X₆ {O(n)}
t₇, X₀: X₀ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₅ {O(n)}
t₇, X₆: X₆ {O(n)}
t₈, X₀: X₀ {O(n)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: X₃ {O(n)}
t₈, X₄: X₄ {O(n)}
t₈, X₅: X₅ {O(n)}
t₈, X₆: X₆ {O(n)}
t₉, X₀: X₀ {O(n)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: X₃ {O(n)}
t₉, X₄: X₄ {O(n)}
t₉, X₅: X₅ {O(n)}
t₉, X₆: X₆ {O(n)}
t₁₀, X₀: X₀ {O(n)}
t₁₀, X₁: X₄ {O(n)}
t₁₀, X₂: X₅ {O(n)}
t₁₀, X₃: X₆ {O(n)}
t₁₀, X₄: X₄ {O(n)}
t₁₀, X₅: X₅ {O(n)}
t₁₀, X₆: X₆ {O(n)}
t₁₁, X₄: X₄ {O(n)}
t₁₁, X₅: X₅ {O(n)}
t₁₁, X₆: X₆ {O(n)}
t₁₂, X₄: 3⋅X₄ {O(n)}
t₁₂, X₅: 3⋅X₅ {O(n)}
t₁₂, X₆: 3⋅X₆ {O(n)}
t₁₃, X₄: X₄ {O(n)}
t₁₃, X₅: X₅ {O(n)}
t₁₃, X₆: X₆ {O(n)}
t₁₉, X₄: 3⋅X₄ {O(n)}
t₁₉, X₅: 3⋅X₅ {O(n)}
t₁₉, X₆: 3⋅X₆ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₆ {O(n)}
t₁₇, X₄: X₄ {O(n)}
t₁₇, X₅: X₅ {O(n)}
t₁₇, X₆: X₆ {O(n)}
t₁₈, X₄: X₄ {O(n)}
t₁₈, X₅: X₅ {O(n)}
t₁₈, X₆: X₆ {O(n)}
t₁₄, X₄: X₄ {O(n)}
t₁₄, X₅: X₅ {O(n)}
t₁₄, X₆: X₆ {O(n)}
t₁₅, X₄: X₄ {O(n)}
t₁₅, X₅: X₅ {O(n)}
t₁₅, X₆: X₆ {O(n)}
t₁₆, X₄: X₄ {O(n)}
t₁₆, X₅: X₅ {O(n)}
t₁₆, X₆: X₆ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: X₅ {O(n)}
t₅, X₆: X₆ {O(n)}