Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀
Temp_Vars: L, M
Locations: l0, l1, l10, l11, l12, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₂: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀)
t₂₆: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 1+X₀ ≤ X₃
t₆: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: X₃ ≤ X₀
t₁₁: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇+1, L, X₉, X₁₀) :|: X₇ ≤ X₀
t₁₈: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 1+X₀ ≤ X₇
t₀: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: L+1 ≤ 0
t₁: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 1 ≤ L
t₁₂: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀)
t₄: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l12(X₀, X₁, X₂, X₃+1, L, L, X₆, X₇, X₈, X₉, X₁₀) :|: L ≤ X₂ ∧ X₃ ≤ X₀
t₅: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l12(X₀, X₁, L, X₃+1, L, L, X₆, X₇, X₈, X₉, X₁₀) :|: 1+X₂ ≤ L ∧ X₃ ≤ X₀
t₂₇: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l3(X₀, X₁+1, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: X₂+1 ≤ 0 ∧ 1+X₀ ≤ X₃
t₂₈: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l3(X₀, X₁+1, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 1 ≤ X₂ ∧ 1+X₀ ≤ X₃
t₂₉: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l3(X₀, X₁+1, 0, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 1+X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂
t₃₀: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 1+X₀ ≤ X₁
t₃: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l12(X₀, X₁, 0, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: X₁ ≤ X₀
t₇: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l7(X₀, X₁, X₂, X₃, X₄, X₅, L, X₇, X₈, X₉, X₁₀) :|: X₁+1 ≤ X₃
t₂₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l8(X₀, X₁, 0, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: X₃ ≤ X₁
t₁₆: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l1(X₀, X₁, X₂, X₀+1, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: X₀ ≤ X₃ ∧ X₃ ≤ X₀
t₁₃: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, L, X₉, X₁₀) :|: X₃+1 ≤ X₀
t₁₄: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, L, X₉, X₁₀) :|: 1+X₀ ≤ X₃
t₁₇: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l1(X₀, X₁, X₂, X₃+1, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 1+X₀ ≤ X₁
t₁₅: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l6(X₀, X₁+1, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: X₁ ≤ X₀
t₂₄: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l4(X₀, X₁+1, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: X₁ ≤ X₇
t₈: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l7(X₀, X₁, X₂, X₃, X₄, X₅, L, X₇+1, X₈, X₉, X₁₀) :|: X₇+1 ≤ X₁
t₂₁: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 1+X₀ ≤ X₁ ∧ X₃+1 ≤ X₁₀
t₂₂: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 1+X₀ ≤ X₁ ∧ 1+X₁₀ ≤ X₃
t₂₃: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₃) :|: 1+X₀ ≤ X₁ ∧ X₃ ≤ X₁₀ ∧ X₁₀ ≤ X₃
t₉: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l9(X₀, X₁, X₂, X₃, X₄, X₅, L, X₇, X₈, X₉, X₁₀) :|: X₁ ≤ X₀
t₁₉: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l8(X₀, X₁+1, X₂, X₃, X₄, X₅, X₆, X₇, M, L, X₁₀) :|: M+1 ≤ X₂ ∧ X₃ ≤ X₇
t₂₀: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l8(X₀, X₁+1, L, X₃, X₄, X₅, X₆, X₇, L, M, X₁) :|: X₂ ≤ L ∧ X₃ ≤ X₇
t₁₀: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → l9(X₀, X₁, X₂, X₃, X₄, X₅, L, X₇+1, X₈, X₉, X₁₀) :|: X₇+1 ≤ X₃

Preprocessing

Eliminate variables {X₄,X₅,X₆,X₈,X₉} that do not contribute to the problem

Found invariant 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ for location l11

Found invariant 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₁ for location l2

Found invariant 2+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ for location l6

Found invariant 0 ≤ X₂ ∧ X₁ ≤ X₀ for location l12

Found invariant 1 ≤ 0 for location l7

Found invariant 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ for location l5

Found invariant 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ for location l8

Found invariant 1+X₀ ≤ X₁ for location l1

Found invariant 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ for location l10

Found invariant 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ for location l4

Found invariant 1 ≤ 0 for location l9

Cut unsatisfiable transition t₇₆: l12→l3

Cut unsatisfiable transition t₈₁: l4→l7

Cut unsatisfiable transition t₈₅: l5→l6

Cut unsatisfiable transition t₈₇: l6→l6

Cut unsatisfiable transition t₈₈: l7→l4

Cut unsatisfiable transition t₈₉: l7→l7

Cut unsatisfiable transition t₉₃: l8→l9

Cut unsatisfiable transition t₉₄: l9→l8

Cut unsatisfiable transition t₉₅: l9→l8

Cut unsatisfiable transition t₉₆: l9→l9

Cut unreachable locations [l7; l9] from the program graph

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars: L
Locations: l0, l1, l10, l11, l12, l2, l3, l4, l5, l6, l8
Transitions:
t₆₆: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅)
t₆₇: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₁
t₆₈: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁
t₆₉: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l10(X₀, X₁, X₂, X₃, X₄+1, X₅) :|: X₄ ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₇₀: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l11(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₇₁: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅) :|: L+1 ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₇₂: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ L ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₇₃: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₇₄: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l12(X₀, X₁, X₂, X₃+1, X₄, X₅) :|: L ≤ X₂ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₁ ≤ X₀
t₇₅: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l12(X₀, X₁, L, X₃+1, X₄, X₅) :|: 1+X₂ ≤ L ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₁ ≤ X₀
t₇₇: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁+1, X₂, X₃, X₄, X₅) :|: 1 ≤ X₂ ∧ 1+X₀ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₁ ≤ X₀
t₇₈: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁+1, 0, X₃, X₄, X₅) :|: 1+X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ X₁ ≤ X₀
t₇₉: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₁
t₈₀: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l12(X₀, X₁, 0, X₃, X₄, X₅) :|: X₁ ≤ X₀
t₈₂: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l8(X₀, X₁, 0, X₃, X₄, X₅) :|: X₃ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁
t₈₃: l5(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₀+1, X₄, X₅) :|: X₀ ≤ X₃ ∧ X₃ ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₈₄: l5(X₀, X₁, X₂, X₃, X₄, X₅) → l6(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₃+1 ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₈₆: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₃+1, X₄, X₅) :|: 1+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₉₀: l8(X₀, X₁, X₂, X₃, X₄, X₅) → l10(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₁ ∧ X₃+1 ≤ X₅ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₉₁: l8(X₀, X₁, X₂, X₃, X₄, X₅) → l10(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₁ ∧ 1+X₅ ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₉₂: l8(X₀, X₁, X₂, X₃, X₄, X₅) → l11(X₀, X₁, X₂, X₃, X₄, X₃) :|: 1+X₀ ≤ X₁ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁

MPRF for transition t₇₄: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l12(X₀, X₁, X₂, X₃+1, X₄, X₅) :|: L ≤ X₂ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₁ ≤ X₀ of depth 1:

new bound:

X₀+X₃+1 {O(n)}

MPRF for transition t₇₅: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l12(X₀, X₁, L, X₃+1, X₄, X₅) :|: 1+X₂ ≤ L ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₁ ≤ X₀ of depth 1:

new bound:

X₀+X₃+1 {O(n)}

MPRF for transition t₇₇: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁+1, X₂, X₃, X₄, X₅) :|: 1 ≤ X₂ ∧ 1+X₀ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₁ ≤ X₀ of depth 1:

new bound:

X₀+X₁+1 {O(n)}

MPRF for transition t₇₈: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁+1, 0, X₃, X₄, X₅) :|: 1+X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ X₁ ≤ X₀ of depth 1:

new bound:

X₀+X₁+1 {O(n)}

MPRF for transition t₈₀: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l12(X₀, X₁, 0, X₃, X₄, X₅) :|: X₁ ≤ X₀ of depth 1:

new bound:

X₀+X₁+1 {O(n)}

MPRF for transition t₆₈: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ of depth 1:

new bound:

7⋅X₀+7⋅X₃+5 {O(n)}

MPRF for transition t₆₉: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l10(X₀, X₁, X₂, X₃, X₄+1, X₅) :|: X₄ ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ of depth 1:

new bound:

3⋅X₄+4⋅X₀+7⋅X₁+4 {O(n)}

MPRF for transition t₇₀: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l11(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ of depth 1:

new bound:

7⋅X₀+7⋅X₃+5 {O(n)}

MPRF for transition t₇₁: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅) :|: L+1 ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ of depth 1:

new bound:

7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}

MPRF for transition t₇₂: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ L ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ of depth 1:

new bound:

7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}

MPRF for transition t₇₃: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ of depth 1:

new bound:

7⋅X₀+7⋅X₃+5 {O(n)}

MPRF for transition t₈₂: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l8(X₀, X₁, 0, X₃, X₄, X₅) :|: X₃ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ of depth 1:

new bound:

7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}

MPRF for transition t₈₃: l5(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₀+1, X₄, X₅) :|: X₀ ≤ X₃ ∧ X₃ ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ of depth 1:

new bound:

7⋅X₀+7⋅X₃+5 {O(n)}

MPRF for transition t₈₄: l5(X₀, X₁, X₂, X₃, X₄, X₅) → l6(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₃+1 ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ of depth 1:

new bound:

7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}

MPRF for transition t₈₆: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₃+1, X₄, X₅) :|: 1+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ of depth 1:

new bound:

7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}

MPRF for transition t₉₀: l8(X₀, X₁, X₂, X₃, X₄, X₅) → l10(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₁ ∧ X₃+1 ≤ X₅ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ of depth 1:

new bound:

7⋅X₁+7⋅X₃+8⋅X₀+9 {O(n)}

MPRF for transition t₉₁: l8(X₀, X₁, X₂, X₃, X₄, X₅) → l10(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₁ ∧ 1+X₅ ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ of depth 1:

new bound:

7⋅X₀+7⋅X₃+5 {O(n)}

MPRF for transition t₉₂: l8(X₀, X₁, X₂, X₃, X₄, X₅) → l11(X₀, X₁, X₂, X₃, X₄, X₃) :|: 1+X₀ ≤ X₁ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ of depth 1:

new bound:

7⋅X₀+7⋅X₃+5 {O(n)}

All Bounds

Timebounds

Overall timebound:3⋅X₄+52⋅X₁+86⋅X₃+99⋅X₀+91 {O(n)}
t₆₆: 1 {O(1)}
t₆₇: 1 {O(1)}
t₆₈: 7⋅X₀+7⋅X₃+5 {O(n)}
t₆₉: 3⋅X₄+4⋅X₀+7⋅X₁+4 {O(n)}
t₇₀: 7⋅X₀+7⋅X₃+5 {O(n)}
t₇₁: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₇₂: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₇₃: 7⋅X₀+7⋅X₃+5 {O(n)}
t₇₄: X₀+X₃+1 {O(n)}
t₇₅: X₀+X₃+1 {O(n)}
t₇₇: X₀+X₁+1 {O(n)}
t₇₈: X₀+X₁+1 {O(n)}
t₇₉: 1 {O(1)}
t₈₀: X₀+X₁+1 {O(n)}
t₈₂: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₈₃: 7⋅X₀+7⋅X₃+5 {O(n)}
t₈₄: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₈₆: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₉₀: 7⋅X₁+7⋅X₃+8⋅X₀+9 {O(n)}
t₉₁: 7⋅X₀+7⋅X₃+5 {O(n)}
t₉₂: 7⋅X₀+7⋅X₃+5 {O(n)}

Costbounds

Overall costbound: 3⋅X₄+52⋅X₁+86⋅X₃+99⋅X₀+91 {O(n)}
t₆₆: 1 {O(1)}
t₆₇: 1 {O(1)}
t₆₈: 7⋅X₀+7⋅X₃+5 {O(n)}
t₆₉: 3⋅X₄+4⋅X₀+7⋅X₁+4 {O(n)}
t₇₀: 7⋅X₀+7⋅X₃+5 {O(n)}
t₇₁: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₇₂: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₇₃: 7⋅X₀+7⋅X₃+5 {O(n)}
t₇₄: X₀+X₃+1 {O(n)}
t₇₅: X₀+X₃+1 {O(n)}
t₇₇: X₀+X₁+1 {O(n)}
t₇₈: X₀+X₁+1 {O(n)}
t₇₉: 1 {O(1)}
t₈₀: X₀+X₁+1 {O(n)}
t₈₂: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₈₃: 7⋅X₀+7⋅X₃+5 {O(n)}
t₈₄: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₈₆: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₉₀: 7⋅X₁+7⋅X₃+8⋅X₀+9 {O(n)}
t₉₁: 7⋅X₀+7⋅X₃+5 {O(n)}
t₉₂: 7⋅X₀+7⋅X₃+5 {O(n)}

Sizebounds

t₆₆, X₀: X₀ {O(n)}
t₆₆, X₁: X₁ {O(n)}
t₆₆, X₂: X₂ {O(n)}
t₆₆, X₃: X₃ {O(n)}
t₆₆, X₄: X₄ {O(n)}
t₆₆, X₅: X₅ {O(n)}
t₆₇, X₀: 12⋅X₀ {O(n)}
t₆₇, X₁: 16⋅X₀+28⋅X₁+16 {O(n)}
t₆₇, X₃: 13⋅X₀+7⋅X₃+7 {O(n)}
t₆₇, X₄: 12⋅X₀+21⋅X₁+21⋅X₄+12 {O(n)}
t₆₇, X₅: 12⋅X₅+21⋅X₁+36⋅X₀+42⋅X₃+36 {O(n)}
t₆₈, X₀: 3⋅X₀ {O(n)}
t₆₈, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₆₈, X₃: 12⋅X₀+14⋅X₃+7⋅X₁+12 {O(n)}
t₆₈, X₄: 4⋅X₀+6⋅X₄+7⋅X₁+4 {O(n)}
t₆₈, X₅: 12⋅X₀+14⋅X₃+3⋅X₅+7⋅X₁+12 {O(n)}
t₆₉, X₀: 3⋅X₀ {O(n)}
t₆₉, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₆₉, X₂: 0 {O(1)}
t₆₉, X₃: 12⋅X₀+14⋅X₃+7⋅X₁+12 {O(n)}
t₆₉, X₄: 4⋅X₀+6⋅X₄+7⋅X₁+4 {O(n)}
t₆₉, X₅: 12⋅X₀+14⋅X₃+3⋅X₅+7⋅X₁+12 {O(n)}
t₇₀, X₀: 3⋅X₀ {O(n)}
t₇₀, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₇₀, X₂: 0 {O(1)}
t₇₀, X₃: 12⋅X₀+14⋅X₃+7⋅X₁+12 {O(n)}
t₇₀, X₄: 4⋅X₀+6⋅X₄+7⋅X₁+4 {O(n)}
t₇₀, X₅: 12⋅X₀+14⋅X₃+3⋅X₅+7⋅X₁+12 {O(n)}
t₇₁, X₀: 3⋅X₀ {O(n)}
t₇₁, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₇₁, X₂: 0 {O(1)}
t₇₁, X₃: 12⋅X₀+14⋅X₃+7⋅X₁+12 {O(n)}
t₇₁, X₄: 4⋅X₀+6⋅X₄+7⋅X₁+4 {O(n)}
t₇₁, X₅: 12⋅X₀+14⋅X₃+3⋅X₅+7⋅X₁+12 {O(n)}
t₇₂, X₀: 3⋅X₀ {O(n)}
t₇₂, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₇₂, X₂: 0 {O(1)}
t₇₂, X₃: 12⋅X₀+14⋅X₃+7⋅X₁+12 {O(n)}
t₇₂, X₄: 4⋅X₀+6⋅X₄+7⋅X₁+4 {O(n)}
t₇₂, X₅: 12⋅X₀+14⋅X₃+3⋅X₅+7⋅X₁+12 {O(n)}
t₇₃, X₀: 3⋅X₀ {O(n)}
t₇₃, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₇₃, X₂: 0 {O(1)}
t₇₃, X₃: 12⋅X₀+14⋅X₃+7⋅X₁+12 {O(n)}
t₇₃, X₄: 4⋅X₀+6⋅X₄+7⋅X₁+4 {O(n)}
t₇₃, X₅: 12⋅X₀+14⋅X₃+3⋅X₅+7⋅X₁+12 {O(n)}
t₇₄, X₀: X₀ {O(n)}
t₇₄, X₁: 2⋅X₀+3⋅X₁+2 {O(n)}
t₇₄, X₃: 2⋅X₀+3⋅X₃+2 {O(n)}
t₇₄, X₄: X₄ {O(n)}
t₇₄, X₅: X₅ {O(n)}
t₇₅, X₀: X₀ {O(n)}
t₇₅, X₁: 2⋅X₀+3⋅X₁+2 {O(n)}
t₇₅, X₃: 2⋅X₀+3⋅X₃+2 {O(n)}
t₇₅, X₄: X₄ {O(n)}
t₇₅, X₅: X₅ {O(n)}
t₇₇, X₀: X₀ {O(n)}
t₇₇, X₁: 2⋅X₀+3⋅X₁+2 {O(n)}
t₇₇, X₃: 2⋅X₀+3⋅X₃+2 {O(n)}
t₇₇, X₄: X₄ {O(n)}
t₇₇, X₅: X₅ {O(n)}
t₇₈, X₀: X₀ {O(n)}
t₇₈, X₁: 2⋅X₀+3⋅X₁+2 {O(n)}
t₇₈, X₂: 0 {O(1)}
t₇₈, X₃: 2⋅X₀+3⋅X₃+2 {O(n)}
t₇₈, X₄: X₄ {O(n)}
t₇₈, X₅: X₅ {O(n)}
t₇₉, X₀: 3⋅X₀ {O(n)}
t₇₉, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₇₉, X₃: 4⋅X₀+7⋅X₃+4 {O(n)}
t₇₉, X₄: 3⋅X₄ {O(n)}
t₇₉, X₅: 3⋅X₅ {O(n)}
t₈₀, X₀: X₀ {O(n)}
t₈₀, X₁: 2⋅X₀+3⋅X₁+2 {O(n)}
t₈₀, X₂: 0 {O(1)}
t₈₀, X₃: 2⋅X₀+3⋅X₃+2 {O(n)}
t₈₀, X₄: X₄ {O(n)}
t₈₀, X₅: X₅ {O(n)}
t₈₂, X₀: 3⋅X₀ {O(n)}
t₈₂, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₈₂, X₂: 0 {O(1)}
t₈₂, X₃: 12⋅X₀+14⋅X₃+7⋅X₁+12 {O(n)}
t₈₂, X₄: 4⋅X₀+6⋅X₄+7⋅X₁+4 {O(n)}
t₈₂, X₅: 12⋅X₀+14⋅X₃+3⋅X₅+7⋅X₁+12 {O(n)}
t₈₃, X₀: 9⋅X₀ {O(n)}
t₈₃, X₁: 12⋅X₀+21⋅X₁+12 {O(n)}
t₈₃, X₂: 0 {O(1)}
t₈₃, X₃: 9⋅X₀+3 {O(n)}
t₈₃, X₄: 12⋅X₀+18⋅X₄+21⋅X₁+12 {O(n)}
t₈₃, X₅: 21⋅X₁+36⋅X₀+42⋅X₃+9⋅X₅+36 {O(n)}
t₈₄, X₀: 3⋅X₀ {O(n)}
t₈₄, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₈₄, X₂: 0 {O(1)}
t₈₄, X₃: 12⋅X₀+14⋅X₃+7⋅X₁+12 {O(n)}
t₈₄, X₄: 4⋅X₀+6⋅X₄+7⋅X₁+4 {O(n)}
t₈₄, X₅: 12⋅X₀+14⋅X₃+3⋅X₅+7⋅X₁+12 {O(n)}
t₈₆, X₀: 3⋅X₀ {O(n)}
t₈₆, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₈₆, X₂: 0 {O(1)}
t₈₆, X₃: 12⋅X₀+14⋅X₃+7⋅X₁+12 {O(n)}
t₈₆, X₄: 4⋅X₀+6⋅X₄+7⋅X₁+4 {O(n)}
t₈₆, X₅: 12⋅X₀+14⋅X₃+3⋅X₅+7⋅X₁+12 {O(n)}
t₉₀, X₀: 3⋅X₀ {O(n)}
t₉₀, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₉₀, X₂: 0 {O(1)}
t₉₀, X₃: 12⋅X₀+14⋅X₃+7⋅X₁+12 {O(n)}
t₉₀, X₄: 4⋅X₀+6⋅X₄+7⋅X₁+4 {O(n)}
t₉₀, X₅: 12⋅X₀+14⋅X₃+3⋅X₅+7⋅X₁+12 {O(n)}
t₉₁, X₀: 3⋅X₀ {O(n)}
t₉₁, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₉₁, X₂: 0 {O(1)}
t₉₁, X₃: 12⋅X₀+14⋅X₃+7⋅X₁+12 {O(n)}
t₉₁, X₄: 4⋅X₀+6⋅X₄+7⋅X₁+4 {O(n)}
t₉₁, X₅: 12⋅X₀+14⋅X₃+3⋅X₅+7⋅X₁+12 {O(n)}
t₉₂, X₀: 3⋅X₀ {O(n)}
t₉₂, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₉₂, X₂: 0 {O(1)}
t₉₂, X₃: 12⋅X₀+14⋅X₃+7⋅X₁+12 {O(n)}
t₉₂, X₄: 4⋅X₀+6⋅X₄+7⋅X₁+4 {O(n)}
t₉₂, X₅: 12⋅X₀+14⋅X₃+7⋅X₁+12 {O(n)}