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 t₂₀₇: n_l1___4→l4
Cut unsatisfiable transition t₂₀₅: n_l1___5→l4
Cut unsatisfiable transition t₂₀₆: 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 t₁₈₂: 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 t₁₈₆: 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 t₁₈₃: 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 t₁₈₇: 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 t₁₈₄: 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 t₁₈₈: 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
t₁₈₅: 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)
t₂₀₄: 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
t₁₈₂: 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
t₂₀₈: 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
t₁₈₃: 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
t₂₀₉: 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
t₁₈₄: 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
t₁₈₆: 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
t₁₈₇: 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
t₁₈₈: 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
t₁₈₉: 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
t₁₉₀: 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
t₁₉₁: 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)}
t₁₈₅: 1 {O(1)}
t₁: 1 {O(1)}
t₈: 1 {O(1)}
t₁₈₂: 254 {O(1)}
t₂₀₄: 1 {O(1)}
t₁₈₃: 511 {O(1)}
t₂₀₈: 1 {O(1)}
t₁₈₄: 511 {O(1)}
t₂₀₉: 1 {O(1)}
t₁₈₆: 253 {O(1)}
t₁₈₇: 510 {O(1)}
t₁₈₈: 510 {O(1)}
t₁₈₉: 1 {O(1)}
t₁₉₀: 1 {O(1)}
t₁₉₁: 1 {O(1)}
Costbounds
Overall costbound: 2561 {O(1)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₁₈₅: 1 {O(1)}
t₁: 1 {O(1)}
t₈: 1 {O(1)}
t₁₈₂: 254 {O(1)}
t₂₀₄: 1 {O(1)}
t₁₈₃: 511 {O(1)}
t₂₀₈: 1 {O(1)}
t₁₈₄: 511 {O(1)}
t₂₀₉: 1 {O(1)}
t₁₈₆: 253 {O(1)}
t₁₈₇: 510 {O(1)}
t₁₈₈: 510 {O(1)}
t₁₈₉: 1 {O(1)}
t₁₉₀: 1 {O(1)}
t₁₉₁: 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)}
t₁₈₅, X₀: 254 {O(1)}
t₁₈₅, X₁: X₁ {O(n)}
t₁₈₅, 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)}
t₁₈₂, X₀: 253 {O(1)}
t₁₈₂, X₁: 0 {O(1)}
t₁₈₂, X₂: 254 {O(1)}
t₂₀₄, X₀: 0 {O(1)}
t₂₀₄, X₁: 0 {O(1)}
t₂₀₄, X₂: 254 {O(1)}
t₁₈₃, X₀: 254 {O(1)}
t₁₈₃, X₁: X₁ {O(n)}
t₁₈₃, X₂: 253 {O(1)}
t₂₀₈, X₀: 255 {O(1)}
t₂₀₈, X₁: 2⋅X₁ {O(n)}
t₂₀₈, X₂: 254 {O(1)}
t₁₈₄, X₀: 254 {O(1)}
t₁₈₄, X₁: X₁ {O(n)}
t₁₈₄, X₂: 253 {O(1)}
t₂₀₉, X₀: 255 {O(1)}
t₂₀₉, X₁: 2⋅X₁ {O(n)}
t₂₀₉, X₂: 254 {O(1)}
t₁₈₆, X₀: 252 {O(1)}
t₁₈₆, X₁: 0 {O(1)}
t₁₈₆, X₂: 254 {O(1)}
t₁₈₇, X₀: 255 {O(1)}
t₁₈₇, X₁: X₁ {O(n)}
t₁₈₇, X₂: 253 {O(1)}
t₁₈₈, X₀: 255 {O(1)}
t₁₈₈, X₁: X₁ {O(n)}
t₁₈₈, X₂: 253 {O(1)}
t₁₈₉, X₀: 253 {O(1)}
t₁₈₉, X₁: 0 {O(1)}
t₁₈₉, X₂: 254 {O(1)}
t₁₉₀, X₀: 255 {O(1)}
t₁₉₀, X₁: X₁ {O(n)}
t₁₉₀, X₂: 254 {O(1)}
t₁₉₁, X₀: 255 {O(1)}
t₁₉₁, X₁: X₁ {O(n)}
t₁₉₁, X₂: 254 {O(1)}