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

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

Found invariant 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ for location l12

Found invariant 2+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ for location l7

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

Found invariant 1 ≤ 0 for location l8

Found invariant 1 ≤ 0 for location l10

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

Found invariant 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ for location l9

Found invariant 1+X₀ ≤ X₁ for location l3

Cut unsatisfiable transition t₆₅: l10→l10

Cut unsatisfiable transition t₆₆: l10→l9

Cut unsatisfiable transition t₆₇: l10→l9

Cut unsatisfiable transition t₇₂: l2→l1

Cut unsatisfiable transition t₇₉: l4→l8

Cut unsatisfiable transition t₈₃: l6→l7

Cut unsatisfiable transition t₈₅: l7→l7

Cut unsatisfiable transition t₈₆: l8→l4

Cut unsatisfiable transition t₈₇: l8→l8

Cut unsatisfiable transition t₈₈: l9→l10

Cut unreachable locations [l10; l8] from the program graph

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars: L
Locations: l0, l1, l11, l12, l2, l3, l4, l5, l6, l7, l9
Transitions:
t₆₂: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₃, X₄, X₅)
t₆₃: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, 0, X₃, X₄, X₅) :|: X₁ ≤ X₀
t₆₄: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₁
t₆₈: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l11(X₀, X₁, X₂, X₃, X₄+1, X₅) :|: X₄ ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₆₉: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l12(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₇₀: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l6(X₀, X₁, X₂, X₃, X₄, X₅) :|: L+1 ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₇₁: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l6(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₇₃: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁+1, X₂, X₃, X₄, X₅) :|: 1 ≤ X₂ ∧ 1+X₀ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₁ ≤ X₀
t₇₄: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁+1, 0, X₃, X₄, X₅) :|: 1+X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ X₁ ≤ X₀
t₇₅: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃+1, X₄, X₅) :|: L ≤ X₂ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₁ ≤ X₀
t₇₆: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, L, X₃+1, X₄, X₅) :|: 1+X₂ ≤ L ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₁ ≤ X₀
t₇₇: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁
t₇₈: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₁
t₈₀: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, 0, X₃, X₄, X₅) :|: X₃ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁
t₈₁: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₀+1, X₄, X₅) :|: X₀ ≤ X₃ ∧ X₃ ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₈₂: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l7(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₃+1 ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₈₄: l7(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃+1, X₄, X₅) :|: 1+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₈₉: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l11(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₁ ∧ X₃+1 ≤ X₅ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₉₀: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l11(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₁ ∧ 1+X₅ ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₁
t₉₁: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l12(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 t₆₃: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, 0, X₃, X₄, X₅) :|: X₁ ≤ X₀ of depth 1:

new bound:

X₀+X₁+1 {O(n)}

MPRF for transition t₇₃: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l1(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 t₇₄: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l1(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 t₇₅: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l2(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 t₇₆: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l2(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 t₆₈: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l11(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⋅X₀+3⋅X₄+1 {O(n)}

MPRF for transition t₆₉: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l12(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⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}

MPRF for transition t₇₀: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l6(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⋅X₀+7⋅X₃+5 {O(n)}

MPRF for transition t₇₁: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l6(X₀, X₁, X₂, X₃, X₄, X₅) :|: 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 t₇₇: l3(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+6 {O(n)}

MPRF for transition t₈₀: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l9(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 t₈₁: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l3(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⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}

MPRF for transition t₈₂: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l7(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⋅X₀+7⋅X₃+5 {O(n)}

MPRF for transition t₈₄: l7(X₀, X₁, X₂, X₃, X₄, X₅) → l3(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:

14⋅X₁+15⋅X₀+7⋅X₃+12 {O(n)}

MPRF for transition t₈₉: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l11(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⋅X₀+7⋅X₃+5 {O(n)}

MPRF for transition t₉₀: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l11(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 t₉₁: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l12(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⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}

All Bounds

Timebounds

Overall timebound:3⋅X₄+52⋅X₁+79⋅X₃+98⋅X₀+87 {O(n)}
t₆₂: 1 {O(1)}
t₆₃: X₀+X₁+1 {O(n)}
t₆₄: 1 {O(1)}
t₆₈: 3⋅X₀+3⋅X₄+1 {O(n)}
t₆₉: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₇₀: 7⋅X₀+7⋅X₃+5 {O(n)}
t₇₁: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₇₃: X₀+X₁+1 {O(n)}
t₇₄: X₀+X₁+1 {O(n)}
t₇₅: X₀+X₃+1 {O(n)}
t₇₆: X₀+X₃+1 {O(n)}
t₇₇: 7⋅X₀+7⋅X₃+6 {O(n)}
t₇₈: 1 {O(1)}
t₈₀: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₈₁: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₈₂: 7⋅X₀+7⋅X₃+5 {O(n)}
t₈₄: 14⋅X₁+15⋅X₀+7⋅X₃+12 {O(n)}
t₈₉: 7⋅X₀+7⋅X₃+5 {O(n)}
t₉₀: 7⋅X₀+7⋅X₃+5 {O(n)}
t₉₁: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}

Costbounds

Overall costbound: 3⋅X₄+52⋅X₁+79⋅X₃+98⋅X₀+87 {O(n)}
t₆₂: 1 {O(1)}
t₆₃: X₀+X₁+1 {O(n)}
t₆₄: 1 {O(1)}
t₆₈: 3⋅X₀+3⋅X₄+1 {O(n)}
t₆₉: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₇₀: 7⋅X₀+7⋅X₃+5 {O(n)}
t₇₁: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₇₃: X₀+X₁+1 {O(n)}
t₇₄: X₀+X₁+1 {O(n)}
t₇₅: X₀+X₃+1 {O(n)}
t₇₆: X₀+X₃+1 {O(n)}
t₇₇: 7⋅X₀+7⋅X₃+6 {O(n)}
t₇₈: 1 {O(1)}
t₈₀: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₈₁: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}
t₈₂: 7⋅X₀+7⋅X₃+5 {O(n)}
t₈₄: 14⋅X₁+15⋅X₀+7⋅X₃+12 {O(n)}
t₈₉: 7⋅X₀+7⋅X₃+5 {O(n)}
t₉₀: 7⋅X₀+7⋅X₃+5 {O(n)}
t₉₁: 7⋅X₁+7⋅X₃+8⋅X₀+8 {O(n)}

Sizebounds

t₆₂, X₀: X₀ {O(n)}
t₆₂, X₁: X₁ {O(n)}
t₆₂, X₂: X₂ {O(n)}
t₆₂, X₃: X₃ {O(n)}
t₆₂, X₄: X₄ {O(n)}
t₆₂, X₅: X₅ {O(n)}
t₆₃, X₀: X₀ {O(n)}
t₆₃, X₁: 2⋅X₀+3⋅X₁+2 {O(n)}
t₆₃, X₂: 0 {O(1)}
t₆₃, X₃: 2⋅X₀+3⋅X₃+2 {O(n)}
t₆₃, X₄: X₄ {O(n)}
t₆₃, X₅: X₅ {O(n)}
t₆₄, X₀: 3⋅X₀ {O(n)}
t₆₄, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₆₄, X₃: 4⋅X₀+7⋅X₃+4 {O(n)}
t₆₄, X₄: 3⋅X₄ {O(n)}
t₆₄, X₅: 3⋅X₅ {O(n)}
t₆₈, X₀: 3⋅X₀ {O(n)}
t₆₈, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₆₈, X₂: 0 {O(1)}
t₆₈, X₃: 14⋅X₁+14⋅X₃+19⋅X₀+16 {O(n)}
t₆₈, X₄: 3⋅X₀+6⋅X₄+1 {O(n)}
t₆₈, X₅: 14⋅X₁+14⋅X₃+19⋅X₀+3⋅X₅+16 {O(n)}
t₆₉, X₀: 3⋅X₀ {O(n)}
t₆₉, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₆₉, X₂: 0 {O(1)}
t₆₉, X₃: 14⋅X₁+14⋅X₃+19⋅X₀+16 {O(n)}
t₆₉, X₄: 3⋅X₀+6⋅X₄+1 {O(n)}
t₆₉, X₅: 14⋅X₁+14⋅X₃+19⋅X₀+3⋅X₅+16 {O(n)}
t₇₀, X₀: 3⋅X₀ {O(n)}
t₇₀, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₇₀, X₂: 0 {O(1)}
t₇₀, X₃: 14⋅X₁+14⋅X₃+19⋅X₀+16 {O(n)}
t₇₀, X₄: 3⋅X₀+6⋅X₄+1 {O(n)}
t₇₀, X₅: 14⋅X₁+14⋅X₃+19⋅X₀+3⋅X₅+16 {O(n)}
t₇₁, X₀: 3⋅X₀ {O(n)}
t₇₁, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₇₁, X₂: 0 {O(1)}
t₇₁, X₃: 14⋅X₁+14⋅X₃+19⋅X₀+16 {O(n)}
t₇₁, X₄: 3⋅X₀+6⋅X₄+1 {O(n)}
t₇₁, X₅: 14⋅X₁+14⋅X₃+19⋅X₀+3⋅X₅+16 {O(n)}
t₇₃, X₀: X₀ {O(n)}
t₇₃, X₁: 2⋅X₀+3⋅X₁+2 {O(n)}
t₇₃, X₃: 2⋅X₀+3⋅X₃+2 {O(n)}
t₇₃, X₄: X₄ {O(n)}
t₇₃, X₅: X₅ {O(n)}
t₇₄, X₀: X₀ {O(n)}
t₇₄, X₁: 2⋅X₀+3⋅X₁+2 {O(n)}
t₇₄, X₂: 0 {O(1)}
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)}
t₇₆, X₀: X₀ {O(n)}
t₇₆, X₁: 2⋅X₀+3⋅X₁+2 {O(n)}
t₇₆, X₃: 2⋅X₀+3⋅X₃+2 {O(n)}
t₇₆, X₄: X₄ {O(n)}
t₇₆, X₅: X₅ {O(n)}
t₇₇, X₀: 3⋅X₀ {O(n)}
t₇₇, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₇₇, X₃: 14⋅X₁+14⋅X₃+19⋅X₀+16 {O(n)}
t₇₇, X₄: 3⋅X₀+6⋅X₄+1 {O(n)}
t₇₇, X₅: 14⋅X₁+14⋅X₃+19⋅X₀+3⋅X₅+16 {O(n)}
t₇₈, X₀: 9⋅X₀ {O(n)}
t₇₈, X₁: 12⋅X₀+21⋅X₁+12 {O(n)}
t₇₈, X₃: 10⋅X₀+7⋅X₃+6 {O(n)}
t₇₈, X₄: 15⋅X₄+6⋅X₀+2 {O(n)}
t₇₈, X₅: 28⋅X₁+28⋅X₃+38⋅X₀+9⋅X₅+32 {O(n)}
t₈₀, X₀: 3⋅X₀ {O(n)}
t₈₀, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₈₀, X₂: 0 {O(1)}
t₈₀, X₃: 14⋅X₁+14⋅X₃+19⋅X₀+16 {O(n)}
t₈₀, X₄: 3⋅X₀+6⋅X₄+1 {O(n)}
t₈₀, X₅: 14⋅X₁+14⋅X₃+19⋅X₀+3⋅X₅+16 {O(n)}
t₈₁, X₀: 6⋅X₀ {O(n)}
t₈₁, X₁: 14⋅X₁+8⋅X₀+8 {O(n)}
t₈₁, X₂: 0 {O(1)}
t₈₁, X₃: 6⋅X₀+2 {O(n)}
t₈₁, X₄: 12⋅X₄+6⋅X₀+2 {O(n)}
t₈₁, X₅: 28⋅X₁+28⋅X₃+38⋅X₀+6⋅X₅+32 {O(n)}
t₈₂, X₀: 3⋅X₀ {O(n)}
t₈₂, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₈₂, X₂: 0 {O(1)}
t₈₂, X₃: 14⋅X₁+14⋅X₃+19⋅X₀+16 {O(n)}
t₈₂, X₄: 3⋅X₀+6⋅X₄+1 {O(n)}
t₈₂, X₅: 14⋅X₁+14⋅X₃+19⋅X₀+3⋅X₅+16 {O(n)}
t₈₄, X₀: 3⋅X₀ {O(n)}
t₈₄, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₈₄, X₂: 0 {O(1)}
t₈₄, X₃: 14⋅X₁+14⋅X₃+19⋅X₀+16 {O(n)}
t₈₄, X₄: 3⋅X₀+6⋅X₄+1 {O(n)}
t₈₄, X₅: 14⋅X₁+14⋅X₃+19⋅X₀+3⋅X₅+16 {O(n)}
t₈₉, X₀: 3⋅X₀ {O(n)}
t₈₉, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₈₉, X₂: 0 {O(1)}
t₈₉, X₃: 14⋅X₁+14⋅X₃+19⋅X₀+16 {O(n)}
t₈₉, X₄: 3⋅X₀+6⋅X₄+1 {O(n)}
t₈₉, X₅: 14⋅X₁+14⋅X₃+19⋅X₀+3⋅X₅+16 {O(n)}
t₉₀, X₀: 3⋅X₀ {O(n)}
t₉₀, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₉₀, X₂: 0 {O(1)}
t₉₀, X₃: 14⋅X₁+14⋅X₃+19⋅X₀+16 {O(n)}
t₉₀, X₄: 3⋅X₀+6⋅X₄+1 {O(n)}
t₉₀, X₅: 14⋅X₁+14⋅X₃+19⋅X₀+3⋅X₅+16 {O(n)}
t₉₁, X₀: 3⋅X₀ {O(n)}
t₉₁, X₁: 4⋅X₀+7⋅X₁+4 {O(n)}
t₉₁, X₂: 0 {O(1)}
t₉₁, X₃: 14⋅X₁+14⋅X₃+19⋅X₀+16 {O(n)}
t₉₁, X₄: 3⋅X₀+6⋅X₄+1 {O(n)}
t₉₁, X₅: 14⋅X₁+14⋅X₃+19⋅X₀+16 {O(n)}