Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂) → l2(X₀, X₁, X₂)
t₂: l1(X₀, X₁, X₂) → l3(X₀, X₁, X₂) :|: 0 < X₀ ∧ X₀ < 255
t₃: l1(X₀, X₁, X₂) → l4(X₀, X₁, X₂) :|: X₀ ≤ 0
t₄: l1(X₀, X₁, X₂) → l4(X₀, X₁, X₂) :|: 255 ≤ X₀
t₁: l2(X₀, X₁, X₂) → l1(X₂, X₁, X₂)
t₅: l3(X₀, X₁, X₂) → l1(X₀+1, X₁, X₂) :|: X₁ < 0
t₆: l3(X₀, X₁, X₂) → l1(X₀+1, X₁, X₂) :|: 0 < X₁
t₇: l3(X₀, X₁, X₂) → l1(X₀-1, X₁, X₂) :|: X₁ ≤ 0 ∧ 0 ≤ X₁
t₈: l4(X₀, X₁, X₂) → l5(X₀, X₁, X₂)

Preprocessing

Found invariant X₀ ≤ 254 ∧ 1 ≤ X₀ for location l3

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂) → l2(X₀, X₁, X₂)
t₂: l1(X₀, X₁, X₂) → l3(X₀, X₁, X₂) :|: 0 < X₀ ∧ X₀ < 255
t₃: l1(X₀, X₁, X₂) → l4(X₀, X₁, X₂) :|: X₀ ≤ 0
t₄: l1(X₀, X₁, X₂) → l4(X₀, X₁, X₂) :|: 255 ≤ X₀
t₁: l2(X₀, X₁, X₂) → l1(X₂, X₁, X₂)
t₅: l3(X₀, X₁, X₂) → l1(X₀+1, X₁, X₂) :|: X₁ < 0 ∧ X₀ ≤ 254 ∧ 1 ≤ X₀
t₆: l3(X₀, X₁, X₂) → l1(X₀+1, X₁, X₂) :|: 0 < X₁ ∧ X₀ ≤ 254 ∧ 1 ≤ X₀
t₇: l3(X₀, X₁, X₂) → l1(X₀-1, X₁, X₂) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₀ ≤ 254 ∧ 1 ≤ X₀
t₈: l4(X₀, X₁, X₂) → l5(X₀, X₁, X₂)

Analysing control-flow refined program

Cut unsatisfiable transition t₉₅: n_l1___4→l4

Cut unsatisfiable transition t₉₃: n_l1___5→l4

Cut unsatisfiable transition t₉₄: n_l1___6→l4

Found invariant X₂ ≤ 254 ∧ X₁+X₂ ≤ 253 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 509 ∧ 1 ≤ X₂ ∧ 2+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 254 ∧ X₀ ≤ 255 ∧ 2 ≤ X₀ for location n_l1___6

Found invariant X₂ ≤ 254 ∧ X₂ ≤ 254+X₁ ∧ X₁+X₂ ≤ 254 ∧ X₂ ≤ 254+X₀ ∧ X₀+X₂ ≤ 507 ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 253 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 253+X₁ ∧ X₀ ≤ 253 ∧ 0 ≤ X₀ for location n_l1___4

Found invariant X₂ ≤ 253 ∧ X₁+X₂ ≤ 252 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 507 ∧ 1 ≤ X₂ ∧ 2+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 253+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 253 ∧ X₀ ≤ 254 ∧ 2 ≤ X₀ for location n_l3___3

Found invariant X₂ ≤ 254 ∧ X₂ ≤ 253+X₁ ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 509 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 254+X₁ ∧ X₀ ≤ 255 ∧ 2 ≤ X₀ for location n_l1___5

Found invariant X₂ ≤ 253 ∧ X₂ ≤ 252+X₁ ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 507 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 253+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 253+X₁ ∧ X₀ ≤ 254 ∧ 2 ≤ X₀ for location n_l3___2

Found invariant X₂ ≤ X₀ ∧ X₀ ≤ X₂ for location l1

Found invariant X₂ ≤ 254 ∧ X₂ ≤ 254+X₁ ∧ X₁+X₂ ≤ 254 ∧ X₂ ≤ 253+X₀ ∧ X₀+X₂ ≤ 507 ∧ 2 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 253 ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ 253+X₁ ∧ X₀ ≤ 253 ∧ 1 ≤ X₀ for location n_l3___1

Found invariant X₂ ≤ 254 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 508 ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 254 ∧ 1 ≤ X₀ for location n_l3___7

MPRF for transition t₇₀: n_l1___4(X₀, X₁, X₂) → n_l3___1(X₀, X₁, X₂) :|: X₀ ≤ 254 ∧ X₀ < 255 ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 253 ∧ 0 < X₀ ∧ X₀ < 255 ∧ X₂ ≤ 254 ∧ X₂ ≤ 254+X₁ ∧ X₁+X₂ ≤ 254 ∧ X₂ ≤ 254+X₀ ∧ X₀+X₂ ≤ 507 ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 253 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 253+X₁ ∧ X₀ ≤ 253 ∧ 0 ≤ X₀ of depth 1:

new bound:

254 {O(1)}

MPRF:

n_l3___1 [X₀ ]
n_l1___4 [X₀+1 ]

MPRF for transition t₇₄: n_l3___1(X₀, X₁, X₂) → n_l1___4(X₀-1, 0, X₂) :|: X₀ ≤ 253 ∧ 0 < X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₀ ≤ 254 ∧ 1 ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₂ ≤ 254 ∧ X₂ ≤ 254+X₁ ∧ X₁+X₂ ≤ 254 ∧ X₂ ≤ 253+X₀ ∧ X₀+X₂ ≤ 507 ∧ 2 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 253 ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ 253+X₁ ∧ X₀ ≤ 253 ∧ 1 ≤ X₀ of depth 1:

new bound:

253 {O(1)}

MPRF:

n_l3___1 [X₀ ]
n_l1___4 [X₀ ]

MPRF for transition t₇₁: n_l1___5(X₀, X₁, X₂) → n_l3___2(X₀, X₁, X₂) :|: 0 < X₀ ∧ 1 ≤ X₀ ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₀ < 255 ∧ X₂ ≤ 254 ∧ X₂ ≤ 253+X₁ ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 509 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 254+X₁ ∧ X₀ ≤ 255 ∧ 2 ≤ X₀ of depth 1:

new bound:

511 {O(1)}

MPRF:

n_l3___2 [255-X₀ ]
n_l1___5 [256-X₀ ]

MPRF for transition t₇₅: n_l3___2(X₀, X₁, X₂) → n_l1___5(X₀+1, X₁, X₂) :|: X₀ < 255 ∧ 1 ≤ X₀ ∧ 0 < X₁ ∧ 1 ≤ X₀ ∧ 0 < X₁ ∧ X₀ ≤ 254 ∧ X₂ ≤ 253 ∧ X₂ ≤ 252+X₁ ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 507 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 253+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 253+X₁ ∧ X₀ ≤ 254 ∧ 2 ≤ X₀ of depth 1:

new bound:

510 {O(1)}

MPRF:

n_l3___2 [255-X₀ ]
n_l1___5 [255-X₀ ]

MPRF for transition t₇₂: n_l1___6(X₀, X₁, X₂) → n_l3___3(X₀, X₁, X₂) :|: 0 < X₀ ∧ 1 ≤ X₀ ∧ X₁ < 0 ∧ 0 < X₀ ∧ X₀ < 255 ∧ X₂ ≤ 254 ∧ X₁+X₂ ≤ 253 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 509 ∧ 1 ≤ X₂ ∧ 2+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 254 ∧ X₀ ≤ 255 ∧ 2 ≤ X₀ of depth 1:

new bound:

511 {O(1)}

MPRF:

n_l3___3 [255-X₀ ]
n_l1___6 [256-X₀ ]

MPRF for transition t₇₆: n_l3___3(X₀, X₁, X₂) → n_l1___6(X₀+1, X₁, X₂) :|: X₀ < 255 ∧ 1 ≤ X₀ ∧ X₁ < 0 ∧ 1 ≤ X₀ ∧ X₁ < 0 ∧ X₀ ≤ 254 ∧ X₂ ≤ 253 ∧ X₁+X₂ ≤ 252 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 507 ∧ 1 ≤ X₂ ∧ 2+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 253+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 253 ∧ X₀ ≤ 254 ∧ 2 ≤ X₀ of depth 1:

new bound:

510 {O(1)}

MPRF:

n_l3___3 [255-X₀ ]
n_l1___6 [255-X₀ ]

CFR: Improvement to new bound with the following program:

new bound:

2549 {O(1)}

cfr-program:

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1, l2, l4, l5, n_l1___4, n_l1___5, n_l1___6, n_l3___1, n_l3___2, n_l3___3, n_l3___7
Transitions:
t₀: l0(X₀, X₁, X₂) → l2(X₀, X₁, X₂)
t₃: l1(X₀, X₁, X₂) → l4(X₀, X₁, X₂) :|: X₀ ≤ 0 ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂
t₄: l1(X₀, X₁, X₂) → l4(X₀, X₁, X₂) :|: 255 ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂
t₇₃: l1(X₀, X₁, X₂) → n_l3___7(X₀, X₁, X₂) :|: X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ 0 < X₀ ∧ X₀ < 255 ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂
t₁: l2(X₀, X₁, X₂) → l1(X₂, X₁, X₂)
t₈: l4(X₀, X₁, X₂) → l5(X₀, X₁, X₂)
t₉₂: n_l1___4(X₀, X₁, X₂) → l4(X₀, X₁, X₂) :|: X₀ ≤ 0 ∧ X₂ ≤ 254 ∧ X₂ ≤ 254+X₁ ∧ X₁+X₂ ≤ 254 ∧ X₂ ≤ 254+X₀ ∧ X₀+X₂ ≤ 507 ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 253 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 253+X₁ ∧ X₀ ≤ 253 ∧ 0 ≤ X₀
t₇₀: n_l1___4(X₀, X₁, X₂) → n_l3___1(X₀, X₁, X₂) :|: X₀ ≤ 254 ∧ X₀ < 255 ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 253 ∧ 0 < X₀ ∧ X₀ < 255 ∧ X₂ ≤ 254 ∧ X₂ ≤ 254+X₁ ∧ X₁+X₂ ≤ 254 ∧ X₂ ≤ 254+X₀ ∧ X₀+X₂ ≤ 507 ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 253 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 253+X₁ ∧ X₀ ≤ 253 ∧ 0 ≤ X₀
t₉₆: n_l1___5(X₀, X₁, X₂) → l4(X₀, X₁, X₂) :|: 255 ≤ X₀ ∧ X₂ ≤ 254 ∧ X₂ ≤ 253+X₁ ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 509 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 254+X₁ ∧ X₀ ≤ 255 ∧ 2 ≤ X₀
t₇₁: n_l1___5(X₀, X₁, X₂) → n_l3___2(X₀, X₁, X₂) :|: 0 < X₀ ∧ 1 ≤ X₀ ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₀ < 255 ∧ X₂ ≤ 254 ∧ X₂ ≤ 253+X₁ ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 509 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 254+X₁ ∧ X₀ ≤ 255 ∧ 2 ≤ X₀
t₉₇: n_l1___6(X₀, X₁, X₂) → l4(X₀, X₁, X₂) :|: 255 ≤ X₀ ∧ X₂ ≤ 254 ∧ X₁+X₂ ≤ 253 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 509 ∧ 1 ≤ X₂ ∧ 2+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 254 ∧ X₀ ≤ 255 ∧ 2 ≤ X₀
t₇₂: n_l1___6(X₀, X₁, X₂) → n_l3___3(X₀, X₁, X₂) :|: 0 < X₀ ∧ 1 ≤ X₀ ∧ X₁ < 0 ∧ 0 < X₀ ∧ X₀ < 255 ∧ X₂ ≤ 254 ∧ X₁+X₂ ≤ 253 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 509 ∧ 1 ≤ X₂ ∧ 2+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 254 ∧ X₀ ≤ 255 ∧ 2 ≤ X₀
t₇₄: n_l3___1(X₀, X₁, X₂) → n_l1___4(X₀-1, 0, X₂) :|: X₀ ≤ 253 ∧ 0 < X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₀ ≤ 254 ∧ 1 ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₂ ≤ 254 ∧ X₂ ≤ 254+X₁ ∧ X₁+X₂ ≤ 254 ∧ X₂ ≤ 253+X₀ ∧ X₀+X₂ ≤ 507 ∧ 2 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 253 ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ 253+X₁ ∧ X₀ ≤ 253 ∧ 1 ≤ X₀
t₇₅: n_l3___2(X₀, X₁, X₂) → n_l1___5(X₀+1, X₁, X₂) :|: X₀ < 255 ∧ 1 ≤ X₀ ∧ 0 < X₁ ∧ 1 ≤ X₀ ∧ 0 < X₁ ∧ X₀ ≤ 254 ∧ X₂ ≤ 253 ∧ X₂ ≤ 252+X₁ ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 507 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 253+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 253+X₁ ∧ X₀ ≤ 254 ∧ 2 ≤ X₀
t₇₆: n_l3___3(X₀, X₁, X₂) → n_l1___6(X₀+1, X₁, X₂) :|: X₀ < 255 ∧ 1 ≤ X₀ ∧ X₁ < 0 ∧ 1 ≤ X₀ ∧ X₁ < 0 ∧ X₀ ≤ 254 ∧ X₂ ≤ 253 ∧ X₁+X₂ ≤ 252 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 507 ∧ 1 ≤ X₂ ∧ 2+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 253+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 253 ∧ X₀ ≤ 254 ∧ 2 ≤ X₀
t₇₇: n_l3___7(X₀, X₁, X₂) → n_l1___4(X₀-1, 0, X₂) :|: X₂ < 255 ∧ 0 < X₂ ∧ X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ 254 ∧ 1 ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₂ ≤ 254 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 508 ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 254 ∧ 1 ≤ X₀
t₇₈: n_l3___7(X₀, X₁, X₂) → n_l1___5(X₀+1, X₁, X₂) :|: X₂ < 255 ∧ 0 < X₂ ∧ X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₀ ∧ 0 < X₁ ∧ X₀ ≤ 254 ∧ X₂ ≤ 254 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 508 ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 254 ∧ 1 ≤ X₀
t₇₉: n_l3___7(X₀, X₁, X₂) → n_l1___6(X₀+1, X₁, X₂) :|: X₂ < 255 ∧ 0 < X₂ ∧ X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₀ ∧ X₁ < 0 ∧ X₀ ≤ 254 ∧ X₂ ≤ 254 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 508 ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 254 ∧ 1 ≤ X₀

All Bounds

Timebounds

Overall timebound:2561 {O(1)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₇₃: 1 {O(1)}
t₁: 1 {O(1)}
t₈: 1 {O(1)}
t₇₀: 254 {O(1)}
t₉₂: 1 {O(1)}
t₇₁: 511 {O(1)}
t₉₆: 1 {O(1)}
t₇₂: 511 {O(1)}
t₉₇: 1 {O(1)}
t₇₄: 253 {O(1)}
t₇₅: 510 {O(1)}
t₇₆: 510 {O(1)}
t₇₇: 1 {O(1)}
t₇₈: 1 {O(1)}
t₇₉: 1 {O(1)}

Costbounds

Overall costbound: 2561 {O(1)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₇₃: 1 {O(1)}
t₁: 1 {O(1)}
t₈: 1 {O(1)}
t₇₀: 254 {O(1)}
t₉₂: 1 {O(1)}
t₇₁: 511 {O(1)}
t₉₆: 1 {O(1)}
t₇₂: 511 {O(1)}
t₉₇: 1 {O(1)}
t₇₄: 253 {O(1)}
t₇₅: 510 {O(1)}
t₇₆: 510 {O(1)}
t₇₇: 1 {O(1)}
t₇₈: 1 {O(1)}
t₇₉: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₃, X₀: X₂ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₄, X₀: X₂ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₇₃, X₀: 254 {O(1)}
t₇₃, X₁: X₁ {O(n)}
t₇₃, X₂: 254 {O(1)}
t₁, X₀: X₂ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₈, X₀: 2⋅X₂+510 {O(n)}
t₈, X₁: 6⋅X₁ {O(n)}
t₈, X₂: 5⋅X₂ {O(n)}
t₇₀, X₀: 253 {O(1)}
t₇₀, X₁: 0 {O(1)}
t₇₀, X₂: 254 {O(1)}
t₉₂, X₀: 0 {O(1)}
t₉₂, X₁: 0 {O(1)}
t₉₂, X₂: 254 {O(1)}
t₇₁, X₀: 254 {O(1)}
t₇₁, X₁: X₁ {O(n)}
t₇₁, X₂: 253 {O(1)}
t₉₆, X₀: 255 {O(1)}
t₉₆, X₁: 2⋅X₁ {O(n)}
t₉₆, X₂: 254 {O(1)}
t₇₂, X₀: 254 {O(1)}
t₇₂, X₁: X₁ {O(n)}
t₇₂, X₂: 253 {O(1)}
t₉₇, X₀: 255 {O(1)}
t₉₇, X₁: 2⋅X₁ {O(n)}
t₉₇, X₂: 254 {O(1)}
t₇₄, X₀: 252 {O(1)}
t₇₄, X₁: 0 {O(1)}
t₇₄, X₂: 254 {O(1)}
t₇₅, X₀: 255 {O(1)}
t₇₅, X₁: X₁ {O(n)}
t₇₅, X₂: 253 {O(1)}
t₇₆, X₀: 255 {O(1)}
t₇₆, X₁: X₁ {O(n)}
t₇₆, X₂: 253 {O(1)}
t₇₇, X₀: 253 {O(1)}
t₇₇, X₁: 0 {O(1)}
t₇₇, X₂: 254 {O(1)}
t₇₈, X₀: 255 {O(1)}
t₇₈, X₁: X₁ {O(n)}
t₇₈, X₂: 254 {O(1)}
t₇₉, X₀: 255 {O(1)}
t₇₉, X₁: X₁ {O(n)}
t₇₉, X₂: 254 {O(1)}