Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1, l10, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂) → l2(X₀, X₁, X₂)
t₃: l1(X₀, X₁, X₂) → l4(X₀, X₁, X₂)
t₁: l2(X₀, X₁, X₂) → l3(X₀, X₁, X₂)
t₂: l3(X₀, X₁, X₂) → l1(X₀, X₁, X₂)
t₄: l4(X₀, X₁, X₂) → l5(X₀, X₁, X₂)
t₅: l5(X₀, X₁, X₂) → l6(X₀, X₁, X₂)
t₆: l6(X₀, X₁, X₂) → l7(X₂, X₁, X₂)
t₇: l7(X₀, X₁, X₂) → l8(X₀, X₁, X₂) :|: 0 < X₀ ∧ X₀ < 255
t₈: l7(X₀, X₁, X₂) → l9(X₀, X₁, X₂) :|: X₀ ≤ 0
t₉: l7(X₀, X₁, X₂) → l9(X₀, X₁, X₂) :|: 255 ≤ X₀
t₁₀: l8(X₀, X₁, X₂) → l7(X₀+1, X₁, X₂) :|: X₁ < 0
t₁₁: l8(X₀, X₁, X₂) → l7(X₀+1, X₁, X₂) :|: 0 < X₁
t₁₂: l8(X₀, X₁, X₂) → l7(X₀-1, X₁, X₂) :|: X₁ ≤ 0 ∧ 0 ≤ X₁
t₁₃: l9(X₀, X₁, X₂) → l10(X₀, X₁, X₂)

Preprocessing

Found invariant X₀ ≤ 254 ∧ 1 ≤ X₀ for location l8

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1, l10, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂) → l2(X₀, X₁, X₂)
t₃: l1(X₀, X₁, X₂) → l4(X₀, X₁, X₂)
t₁: l2(X₀, X₁, X₂) → l3(X₀, X₁, X₂)
t₂: l3(X₀, X₁, X₂) → l1(X₀, X₁, X₂)
t₄: l4(X₀, X₁, X₂) → l5(X₀, X₁, X₂)
t₅: l5(X₀, X₁, X₂) → l6(X₀, X₁, X₂)
t₆: l6(X₀, X₁, X₂) → l7(X₂, X₁, X₂)
t₇: l7(X₀, X₁, X₂) → l8(X₀, X₁, X₂) :|: 0 < X₀ ∧ X₀ < 255
t₈: l7(X₀, X₁, X₂) → l9(X₀, X₁, X₂) :|: X₀ ≤ 0
t₉: l7(X₀, X₁, X₂) → l9(X₀, X₁, X₂) :|: 255 ≤ X₀
t₁₀: l8(X₀, X₁, X₂) → l7(X₀+1, X₁, X₂) :|: X₁ < 0 ∧ X₀ ≤ 254 ∧ 1 ≤ X₀
t₁₁: l8(X₀, X₁, X₂) → l7(X₀+1, X₁, X₂) :|: 0 < X₁ ∧ X₀ ≤ 254 ∧ 1 ≤ X₀
t₁₂: l8(X₀, X₁, X₂) → l7(X₀-1, X₁, X₂) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₀ ≤ 254 ∧ 1 ≤ X₀
t₁₃: l9(X₀, X₁, X₂) → l10(X₀, X₁, X₂)

Analysing control-flow refined program

Cut unsatisfiable transition t₁₂₀: n_l7___4→l9

Cut unsatisfiable transition t₁₁₈: n_l7___5→l9

Cut unsatisfiable transition t₁₁₉: n_l7___6→l9

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_l8___1

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_l8___2

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_l8___3

Found invariant X₂ ≤ 254 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 508 ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 254 ∧ 1 ≤ X₀ for location n_l8___7

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_l7___6

Found invariant X₂ ≤ X₀ ∧ X₀ ≤ X₂ for location l7

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_l7___5

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_l7___4

MPRF for transition t₉₅: n_l7___4(X₀, X₁, X₂) → n_l8___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_l8___1 [X₀ ]
n_l7___4 [X₀+1 ]

MPRF for transition t₉₉: n_l8___1(X₀, X₁, X₂) → n_l7___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_l8___1 [X₀ ]
n_l7___4 [X₀ ]

MPRF for transition t₉₆: n_l7___5(X₀, X₁, X₂) → n_l8___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_l8___2 [255-X₀ ]
n_l7___5 [256-X₀ ]

MPRF for transition t₁₀₀: n_l8___2(X₀, X₁, X₂) → n_l7___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_l8___2 [255-X₀ ]
n_l7___5 [255-X₀ ]

MPRF for transition t₉₇: n_l7___6(X₀, X₁, X₂) → n_l8___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_l8___3 [255-X₀ ]
n_l7___6 [256-X₀ ]

MPRF for transition t₁₀₁: n_l8___3(X₀, X₁, X₂) → n_l7___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_l8___3 [255-X₀ ]
n_l7___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, l10, l2, l3, l4, l5, l6, l7, l9, n_l7___4, n_l7___5, n_l7___6, n_l8___1, n_l8___2, n_l8___3, n_l8___7
Transitions:
t₀: l0(X₀, X₁, X₂) → l2(X₀, X₁, X₂)
t₃: l1(X₀, X₁, X₂) → l4(X₀, X₁, X₂)
t₁: l2(X₀, X₁, X₂) → l3(X₀, X₁, X₂)
t₂: l3(X₀, X₁, X₂) → l1(X₀, X₁, X₂)
t₄: l4(X₀, X₁, X₂) → l5(X₀, X₁, X₂)
t₅: l5(X₀, X₁, X₂) → l6(X₀, X₁, X₂)
t₆: l6(X₀, X₁, X₂) → l7(X₂, X₁, X₂)
t₈: l7(X₀, X₁, X₂) → l9(X₀, X₁, X₂) :|: X₀ ≤ 0 ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂
t₉: l7(X₀, X₁, X₂) → l9(X₀, X₁, X₂) :|: 255 ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂
t₉₈: l7(X₀, X₁, X₂) → n_l8___7(X₀, X₁, X₂) :|: X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ 0 < X₀ ∧ X₀ < 255 ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂
t₁₃: l9(X₀, X₁, X₂) → l10(X₀, X₁, X₂)
t₁₁₇: n_l7___4(X₀, X₁, X₂) → l9(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
t₉₅: n_l7___4(X₀, X₁, X₂) → n_l8___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
t₁₂₁: n_l7___5(X₀, X₁, X₂) → l9(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
t₉₆: n_l7___5(X₀, X₁, X₂) → n_l8___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
t₁₂₂: n_l7___6(X₀, X₁, X₂) → l9(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
t₉₇: n_l7___6(X₀, X₁, X₂) → n_l8___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
t₉₉: n_l8___1(X₀, X₁, X₂) → n_l7___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
t₁₀₀: n_l8___2(X₀, X₁, X₂) → n_l7___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
t₁₀₁: n_l8___3(X₀, X₁, X₂) → n_l7___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
t₁₀₂: n_l8___7(X₀, X₁, X₂) → n_l7___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
t₁₀₃: n_l8___7(X₀, X₁, X₂) → n_l7___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
t₁₀₄: n_l8___7(X₀, X₁, X₂) → n_l7___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:2566 {O(1)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₉₈: 1 {O(1)}
t₁₃: 1 {O(1)}
t₉₅: 254 {O(1)}
t₁₁₇: 1 {O(1)}
t₉₆: 511 {O(1)}
t₁₂₁: 1 {O(1)}
t₉₇: 511 {O(1)}
t₁₂₂: 1 {O(1)}
t₉₉: 253 {O(1)}
t₁₀₀: 510 {O(1)}
t₁₀₁: 510 {O(1)}
t₁₀₂: 1 {O(1)}
t₁₀₃: 1 {O(1)}
t₁₀₄: 1 {O(1)}

Costbounds

Overall costbound: 2566 {O(1)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₉₈: 1 {O(1)}
t₁₃: 1 {O(1)}
t₉₅: 254 {O(1)}
t₁₁₇: 1 {O(1)}
t₉₆: 511 {O(1)}
t₁₂₁: 1 {O(1)}
t₉₇: 511 {O(1)}
t₁₂₂: 1 {O(1)}
t₉₉: 253 {O(1)}
t₁₀₀: 510 {O(1)}
t₁₀₁: 510 {O(1)}
t₁₀₂: 1 {O(1)}
t₁₀₃: 1 {O(1)}
t₁₀₄: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₆, X₀: X₂ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₂ {O(n)}
t₈, X₀: X₂ {O(n)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: X₂ {O(n)}
t₉, X₀: X₂ {O(n)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: X₂ {O(n)}
t₉₈, X₀: 254 {O(1)}
t₉₈, X₁: X₁ {O(n)}
t₉₈, X₂: 254 {O(1)}
t₁₃, X₀: 2⋅X₂+510 {O(n)}
t₁₃, X₁: 6⋅X₁ {O(n)}
t₁₃, X₂: 5⋅X₂ {O(n)}
t₉₅, X₀: 253 {O(1)}
t₉₅, X₁: 0 {O(1)}
t₉₅, X₂: 254 {O(1)}
t₁₁₇, X₀: 0 {O(1)}
t₁₁₇, X₁: 0 {O(1)}
t₁₁₇, X₂: 254 {O(1)}
t₉₆, X₀: 254 {O(1)}
t₉₆, X₁: X₁ {O(n)}
t₉₆, X₂: 253 {O(1)}
t₁₂₁, X₀: 255 {O(1)}
t₁₂₁, X₁: 2⋅X₁ {O(n)}
t₁₂₁, X₂: 254 {O(1)}
t₉₇, X₀: 254 {O(1)}
t₉₇, X₁: X₁ {O(n)}
t₉₇, X₂: 253 {O(1)}
t₁₂₂, X₀: 255 {O(1)}
t₁₂₂, X₁: 2⋅X₁ {O(n)}
t₁₂₂, X₂: 254 {O(1)}
t₉₉, X₀: 252 {O(1)}
t₉₉, X₁: 0 {O(1)}
t₉₉, X₂: 254 {O(1)}
t₁₀₀, X₀: 255 {O(1)}
t₁₀₀, X₁: X₁ {O(n)}
t₁₀₀, X₂: 253 {O(1)}
t₁₀₁, X₀: 255 {O(1)}
t₁₀₁, X₁: X₁ {O(n)}
t₁₀₁, X₂: 253 {O(1)}
t₁₀₂, X₀: 253 {O(1)}
t₁₀₂, X₁: 0 {O(1)}
t₁₀₂, X₂: 254 {O(1)}
t₁₀₃, X₀: 255 {O(1)}
t₁₀₃, X₁: X₁ {O(n)}
t₁₀₃, X₂: 254 {O(1)}
t₁₀₄, X₀: 255 {O(1)}
t₁₀₄, X₁: X₁ {O(n)}
t₁₀₄, X₂: 254 {O(1)}