KoAT2 Proof Output

Initial Problem

Preprocessing

Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfreturnin

Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 2+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb1in

Found invariant 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb2in

Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbbin

Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb3in

Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfstop

Found invariant 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb4in

Problem after Preprocessing

Start: evalfstart
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: E
Locations: evalfbb1in, evalfbb2in, evalfbb3in, evalfbb4in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
t₉: evalfbb1in(X₀, X₁, X₂, X₃) → evalfbb3in(X₀, X₁, 1+X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₁₀: evalfbb2in(X₀, X₁, X₂, X₃) → evalfbb3in(X₀, X₁, 0, 1+X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₃: evalfbb3in(X₀, X₁, X₂, X₃) → evalfbb4in(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₂: evalfbb3in(X₀, X₁, X₂, X₃) → evalfreturnin(X₀, X₁, X₂, X₃) :|: X₁ ≤ X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₄: evalfbb4in(X₀, X₁, X₂, X₃) → evalfbbin(X₀, X₁, X₂, X₃) :|: 1+E ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₅: evalfbb4in(X₀, X₁, X₂, X₃) → evalfbbin(X₀, X₁, X₂, X₃) :|: 1 ≤ E ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₆: evalfbb4in(X₀, X₁, X₂, X₃) → evalfreturnin(X₀, X₁, X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₇: evalfbbin(X₀, X₁, X₂, X₃) → evalfbb1in(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₈: evalfbbin(X₀, X₁, X₂, X₃) → evalfbb2in(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₁: evalfentryin(X₀, X₁, X₂, X₃) → evalfbb3in(X₀, X₁, 0, 0) :|: 1 ≤ X₀ ∧ 1+X₀ ≤ X₁
t₁₁: evalfreturnin(X₀, X₁, X₂, X₃) → evalfstop(X₀, X₁, X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₀: evalfstart(X₀, X₁, X₂, X₃) → evalfentryin(X₀, X₁, X₂, X₃)

Cut unreachable locations [evalfbb4in] from the program graph

Cut unsatisfiable transition [t₂: evalfbb3in→evalfreturnin; t₆₄: evalfbb3in→evalfreturnin]

Found invariant 1+X₃ ≤ X₁ ∧ 2 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 5 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₂ ≤ 0 ∧ 3+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb1in_v5

Found invariant 1+X₃ ≤ X₁ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 5 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb3in_v5

Found invariant X₃ ≤ 1 ∧ X₃ ≤ 1+X₂ ∧ X₂+X₃ ≤ 1 ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ 0 ∧ 2+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbbin_v3

Found invariant X₃ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 0 ∧ 2+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 0 ∧ 2+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbbin_v1

Found invariant X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ 2+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ 2+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 2 ≤ X₀ for location evalfbb1in_v4

Found invariant 1+X₃ ≤ X₁ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 5 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb4in_v6

Found invariant X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb2in_v2

Found invariant X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb4in_v4

Found invariant X₃ ≤ X₁ ∧ 2 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₂ ≤ 0 ∧ 2+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb3in_v4

Found invariant 1+X₃ ≤ X₁ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 5 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb2in_v3

Found invariant X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb3in_v3

Found invariant 1+X₃ ≤ X₁ ∧ 2 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 5 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₂ ≤ 0 ∧ 3+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb4in_v5

Found invariant X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfreturnin

Found invariant 1+X₃ ≤ X₁ ∧ 2 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 5 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₂ ≤ 0 ∧ 3+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbbin_v5

Found invariant X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 2+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb3in_v1

Found invariant 1+X₃ ≤ X₁ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 5 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbbin_v6

Found invariant X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbbin_v4

Found invariant 1+X₃ ≤ X₁ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 5 ≤ X₁+X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 2 ≤ X₀ for location evalfbb1in_v6

Found invariant X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 2+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfbb2in_v1

Found invariant X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location evalfstop

Found invariant X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 3+X₃ ≤ X₁ ∧ 2+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 2 ≤ X₀ for location evalfbb1in_v2

Cut unsatisfiable transition [t₆₉: evalfbbin_v1→evalfbb2in_v1; t₈₀: evalfbb3in_v2→evalfreturnin]

Analysing control-flow refined program

MPRF for transition t₇₂: evalfbb3in_v1(X₀, X₁, X₂, X₃) → evalfbb4in_v2(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0 of depth 1:

new bound:

2⋅X₀+2 {O(n)}

MPRF:

• evalfbb1in_v2: [X₀-X₂]
• evalfbb3in_v1: [1+X₀-X₂]
• evalfbb4in_v2: [X₀-X₂]
• evalfbbin_v2: [X₀-X₂]

MPRF for transition t₇₄: evalfbb4in_v2(X₀, X₁, X₂, X₃) → evalfbbin_v2(X₀, X₁, X₂, X₃) :|: 1 ≤ E ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0 of depth 1:

new bound:

2⋅X₀+2 {O(n)}

MPRF:

• evalfbb1in_v2: [X₀-X₂]
• evalfbb3in_v1: [1+X₀-X₂]
• evalfbb4in_v2: [1+X₀-X₂]
• evalfbbin_v2: [X₀-X₂]

MPRF for transition t₇₅: evalfbb4in_v2(X₀, X₁, X₂, X₃) → evalfbbin_v2(X₀, X₁, X₂, X₃) :|: 1+E ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0 of depth 1:

new bound:

2⋅X₀+2 {O(n)}

MPRF:

• evalfbb1in_v2: [X₀-X₂]
• evalfbb3in_v1: [1+X₀-X₂]
• evalfbb4in_v2: [1+X₀-X₂]
• evalfbbin_v2: [X₀-X₂]

MPRF for transition t₇₇: evalfbbin_v2(X₀, X₁, X₂, X₃) → evalfbb1in_v2(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0 of depth 1:

new bound:

2⋅X₀+2 {O(n)}

MPRF:

• evalfbb1in_v2: [X₀-X₂]
• evalfbb3in_v1: [1+X₀-X₂]
• evalfbb4in_v2: [1+X₀-X₂]
• evalfbbin_v2: [1+X₀-X₂]

MPRF for transition t₇₈: evalfbb1in_v2(X₀, X₁, X₂, X₃) → evalfbb3in_v1(X₀, X₁, 1+X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₃ ∧ 2+X₃ ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₃ ∧ 3+X₃ ≤ X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0 of depth 1:

new bound:

2⋅X₀+1 {O(n)}

MPRF:

• evalfbb1in_v2: [X₀-X₂]
• evalfbb3in_v1: [X₀-X₂]
• evalfbb4in_v2: [X₀-X₂]
• evalfbbin_v2: [X₀-X₂]

MPRF for transition t₈₇: evalfbb3in_v3(X₀, X₁, X₂, X₃) → evalfbb4in_v4(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

8⋅X₁+1 {O(n)}

MPRF:

• evalfbb1in_v4: [X₁-X₂-X₃]
• evalfbb3in_v3: [X₁-X₂]
• evalfbb4in_v4: [X₁-1-X₂]
• evalfbbin_v4: [X₁-1-X₂]

MPRF for transition t₈₉: evalfbb4in_v4(X₀, X₁, X₂, X₃) → evalfbbin_v4(X₀, X₁, X₂, X₃) :|: 1 ≤ E ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

8⋅X₀+2 {O(n)}

MPRF:

• evalfbb1in_v4: [X₀-X₂]
• evalfbb3in_v3: [1+X₀-X₂]
• evalfbb4in_v4: [1+X₀-X₂]
• evalfbbin_v4: [X₀-X₂]

MPRF for transition t₉₀: evalfbb4in_v4(X₀, X₁, X₂, X₃) → evalfbbin_v4(X₀, X₁, X₂, X₃) :|: 1+E ≤ 0 ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

8⋅X₀+2 {O(n)}

MPRF:

• evalfbb1in_v4: [X₀-X₂]
• evalfbb3in_v3: [1+X₀-X₂]
• evalfbb4in_v4: [1+X₀-X₂]
• evalfbbin_v4: [X₀-X₂]

MPRF for transition t₉₂: evalfbbin_v4(X₀, X₁, X₂, X₃) → evalfbb1in_v4(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

8⋅X₀+2 {O(n)}

MPRF:

• evalfbb1in_v4: [X₀-X₂]
• evalfbb3in_v3: [1+X₀-X₂]
• evalfbb4in_v4: [1+X₀-X₂]
• evalfbbin_v4: [1+X₀-X₂]

MPRF for transition t₉₃: evalfbb1in_v4(X₀, X₁, X₂, X₃) → evalfbb3in_v3(X₀, X₁, 1+X₂, X₃) :|: X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 4 ≤ X₁+X₂ ∧ 4 ≤ X₁+X₃ ∧ 5 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

8⋅X₀+1 {O(n)}

MPRF:

• evalfbb1in_v4: [X₀-X₂]
• evalfbb3in_v3: [X₀-X₂]
• evalfbb4in_v4: [X₀-X₂]
• evalfbbin_v4: [X₀-X₂]

MPRF for transition t₉₆: evalfbb3in_v4(X₀, X₁, X₂, X₃) → evalfbb4in_v5(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃ of depth 1:

new bound:

16⋅X₁+3 {O(n)}

MPRF:

• evalfbb1in_v5: [X₁-X₃]
• evalfbb1in_v6: [X₁-X₃]
• evalfbb2in_v3: [X₁-X₃]
• evalfbb3in_v4: [1+X₁-X₃]
• evalfbb3in_v5: [X₁-X₃]
• evalfbb4in_v5: [X₁-X₃]
• evalfbb4in_v6: [X₁-X₃]
• evalfbbin_v5: [X₁-X₃]
• evalfbbin_v6: [X₁-X₃]

MPRF for transition t₉₈: evalfbb4in_v5(X₀, X₁, X₂, X₃) → evalfbbin_v5(X₀, X₁, X₂, X₃) :|: 1 ≤ E ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ 3+X₂ ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃ of depth 1:

new bound:

16⋅X₁+2 {O(n)}

MPRF:

• evalfbb1in_v5: [X₁-1-X₃]
• evalfbb1in_v6: [X₁-1-X₃]
• evalfbb2in_v3: [X₁-1-X₃]
• evalfbb3in_v4: [X₁-X₃]
• evalfbb3in_v5: [X₁-1-X₃]
• evalfbb4in_v5: [X₁-X₃]
• evalfbb4in_v6: [X₁-1-X₃]
• evalfbbin_v5: [X₁-1-X₃]
• evalfbbin_v6: [X₁-1-X₃]

MPRF for transition t₉₉: evalfbb4in_v5(X₀, X₁, X₂, X₃) → evalfbbin_v5(X₀, X₁, X₂, X₃) :|: 1+E ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ 3+X₂ ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃ of depth 1:

new bound:

16⋅X₁+2 {O(n)}

MPRF:

MPRF for transition t₁₀₀: evalfbbin_v5(X₀, X₁, X₂, X₃) → evalfbb1in_v5(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ 3+X₂ ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃ of depth 1:

new bound:

16⋅X₁+2 {O(n)}

MPRF:

MPRF for transition t₁₀₁: evalfbb1in_v5(X₀, X₁, X₂, X₃) → evalfbb3in_v5(X₀, X₁, 1+X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ 3+X₂ ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃ of depth 1:

new bound:

16⋅X₁+3 {O(n)}

MPRF:

• evalfbb1in_v5: [1+X₁-X₃]
• evalfbb1in_v6: [X₁-X₃]
• evalfbb2in_v3: [X₁-X₃]
• evalfbb3in_v4: [1+X₁-X₃]
• evalfbb3in_v5: [X₁-X₃]
• evalfbb4in_v5: [1+X₁-X₃]
• evalfbb4in_v6: [X₁-X₃]
• evalfbbin_v5: [1+X₁-X₃]
• evalfbbin_v6: [X₁-X₃]

MPRF for transition t₁₀₆: evalfbbin_v6(X₀, X₁, X₂, X₃) → evalfbb2in_v3(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

16⋅X₁+2 {O(n)}

MPRF:

• evalfbb1in_v5: [X₁-X₃]
• evalfbb1in_v6: [X₁-X₃]
• evalfbb2in_v3: [X₁-1-X₃]
• evalfbb3in_v4: [X₁-X₃]
• evalfbb3in_v5: [X₁-X₃]
• evalfbb4in_v5: [X₁-X₃]
• evalfbb4in_v6: [X₁-X₃]
• evalfbbin_v5: [X₁-X₃]
• evalfbbin_v6: [X₁-X₃]

MPRF for transition t₁₀₉: evalfbb2in_v3(X₀, X₁, X₂, X₃) → evalfbb3in_v4(X₀, X₁, 0, 1+X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

16⋅X₁+2 {O(n)}

MPRF:

• evalfbb1in_v5: [X₁-X₃]
• evalfbb1in_v6: [X₁-X₃]
• evalfbb2in_v3: [X₁-X₃]
• evalfbb3in_v4: [X₁-X₃]
• evalfbb3in_v5: [X₁-X₃]
• evalfbb4in_v5: [X₁-X₃]
• evalfbb4in_v6: [X₁-X₃]
• evalfbbin_v5: [X₁-X₃]
• evalfbbin_v6: [X₁-X₃]

MPRF for transition t₁₀₂: evalfbb3in_v5(X₀, X₁, X₂, X₃) → evalfbb4in_v6(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

256⋅X₀⋅X₁+256⋅X₁⋅X₁+48⋅X₀+48⋅X₁ {O(n^2)}

MPRF:

• evalfbb1in_v5: [X₀+X₁]
• evalfbb1in_v6: [X₀+X₁-3-X₂]
• evalfbb2in_v3: [X₀+X₁-3-X₂]
• evalfbb3in_v4: [X₀+X₁]
• evalfbb3in_v5: [X₀+X₁-2-X₂]
• evalfbb4in_v5: [X₀+X₁]
• evalfbb4in_v6: [X₀+X₁-3-X₂]
• evalfbbin_v5: [X₀+X₁]
• evalfbbin_v6: [X₀+X₁-3-X₂]

MPRF for transition t₁₀₄: evalfbb4in_v6(X₀, X₁, X₂, X₃) → evalfbbin_v6(X₀, X₁, X₂, X₃) :|: 1 ≤ E ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

256⋅X₀⋅X₁+48⋅X₀ {O(n^2)}

MPRF:

• evalfbb1in_v5: [X₀]
• evalfbb1in_v6: [X₀-X₂]
• evalfbb2in_v3: [X₀-X₂]
• evalfbb3in_v4: [X₀]
• evalfbb3in_v5: [1+X₀-X₂]
• evalfbb4in_v5: [X₀]
• evalfbb4in_v6: [1+X₀-X₂]
• evalfbbin_v5: [X₀]
• evalfbbin_v6: [X₀-X₂]

MPRF for transition t₁₀₅: evalfbb4in_v6(X₀, X₁, X₂, X₃) → evalfbbin_v6(X₀, X₁, X₂, X₃) :|: 1+E ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

256⋅X₀⋅X₁+256⋅X₁⋅X₁+48⋅X₀+48⋅X₁ {O(n^2)}

MPRF:

• evalfbb1in_v5: [X₀+X₁]
• evalfbb1in_v6: [X₀+X₁-2-X₂]
• evalfbb2in_v3: [X₀+X₁-2-X₂]
• evalfbb3in_v4: [X₀+X₁]
• evalfbb3in_v5: [X₀+X₁-1-X₂]
• evalfbb4in_v5: [X₀+X₁]
• evalfbb4in_v6: [X₀+X₁-1-X₂]
• evalfbbin_v5: [X₀+X₁]
• evalfbbin_v6: [X₀+X₁-2-X₂]

MPRF for transition t₁₀₇: evalfbbin_v6(X₀, X₁, X₂, X₃) → evalfbb1in_v6(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

256⋅X₀⋅X₁+48⋅X₀ {O(n^2)}

MPRF:

• evalfbb1in_v5: [X₀]
• evalfbb1in_v6: [X₀-1-X₂]
• evalfbb2in_v3: [X₀-X₂]
• evalfbb3in_v4: [X₀]
• evalfbb3in_v5: [X₀-X₂]
• evalfbb4in_v5: [X₀]
• evalfbb4in_v6: [X₀-X₂]
• evalfbbin_v5: [X₀]
• evalfbbin_v6: [X₀-X₂]

MPRF for transition t₁₀₈: evalfbb1in_v6(X₀, X₁, X₂, X₃) → evalfbb3in_v5(X₀, X₁, 1+X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

256⋅X₀⋅X₁+48⋅X₀ {O(n^2)}

MPRF:

• evalfbb1in_v5: [X₀]
• evalfbb1in_v6: [X₀-X₂]
• evalfbb2in_v3: [X₀-X₂]
• evalfbb3in_v4: [X₀]
• evalfbb3in_v5: [X₀-X₂]
• evalfbb4in_v5: [X₀]
• evalfbb4in_v6: [X₀-X₂]
• evalfbbin_v5: [X₀]
• evalfbbin_v6: [X₀-X₂]

CFR: Improvement to new bound with the following program:

method: PartialEvaluation new bound:

O(n^2)

cfr-program:

Start: evalfstart
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: E
Locations: evalfbb1in_v1, evalfbb1in_v2, evalfbb1in_v3, evalfbb1in_v4, evalfbb1in_v5, evalfbb1in_v6, evalfbb2in_v1, evalfbb2in_v2, evalfbb2in_v3, evalfbb3in, evalfbb3in_v1, evalfbb3in_v2, evalfbb3in_v3, evalfbb3in_v4, evalfbb3in_v5, evalfbb4in_v1, evalfbb4in_v2, evalfbb4in_v3, evalfbb4in_v4, evalfbb4in_v5, evalfbb4in_v6, evalfbbin_v1, evalfbbin_v2, evalfbbin_v3, evalfbbin_v4, evalfbbin_v5, evalfbbin_v6, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
t₇₁: evalfbb1in_v1(X₀, X₁, X₂, X₃) → evalfbb3in_v1(X₀, X₁, 1+X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂+X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₇₈: evalfbb1in_v2(X₀, X₁, X₂, X₃) → evalfbb3in_v1(X₀, X₁, 1+X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₃ ∧ 2+X₃ ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₃ ∧ 3+X₃ ≤ X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₈₆: evalfbb1in_v3(X₀, X₁, X₂, X₃) → evalfbb3in_v3(X₀, X₁, 1+X₂, X₃) :|: X₃ ≤ 1+X₂ ∧ X₂+X₃ ≤ 1 ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₉₃: evalfbb1in_v4(X₀, X₁, X₂, X₃) → evalfbb3in_v3(X₀, X₁, 1+X₂, X₃) :|: X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 4 ≤ X₁+X₂ ∧ 4 ≤ X₁+X₃ ∧ 5 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃
t₁₀₁: evalfbb1in_v5(X₀, X₁, X₂, X₃) → evalfbb3in_v5(X₀, X₁, 1+X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ 3+X₂ ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₁₀₈: evalfbb1in_v6(X₀, X₁, X₂, X₃) → evalfbb3in_v5(X₀, X₁, 1+X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₇₉: evalfbb2in_v1(X₀, X₁, X₂, X₃) → evalfbb3in_v2(X₀, X₁, 0, 1+X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₉₄: evalfbb2in_v2(X₀, X₁, X₂, X₃) → evalfbb3in_v4(X₀, X₁, 0, 1+X₃) :|: X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃
t₁₀₉: evalfbb2in_v3(X₀, X₁, X₂, X₃) → evalfbb3in_v4(X₀, X₁, 0, 1+X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₆₅: evalfbb3in(X₀, X₁, X₂, X₃) → evalfbb4in_v1(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂+X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₇₂: evalfbb3in_v1(X₀, X₁, X₂, X₃) → evalfbb4in_v2(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₈₁: evalfbb3in_v2(X₀, X₁, X₂, X₃) → evalfbb4in_v3(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ X₃ ≤ 1+X₂ ∧ X₂+X₃ ≤ 1 ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₈₇: evalfbb3in_v3(X₀, X₁, X₂, X₃) → evalfbb4in_v4(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃
t₉₆: evalfbb3in_v4(X₀, X₁, X₂, X₃) → evalfbb4in_v5(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₉₅: evalfbb3in_v4(X₀, X₁, X₂, X₃) → evalfreturnin(X₀, X₁, X₂, X₃) :|: X₁ ≤ X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₁₀₂: evalfbb3in_v5(X₀, X₁, X₂, X₃) → evalfbb4in_v6(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₆₇: evalfbb4in_v1(X₀, X₁, X₂, X₃) → evalfbbin_v1(X₀, X₁, X₂, X₃) :|: 1 ≤ E ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂+X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₆₈: evalfbb4in_v1(X₀, X₁, X₂, X₃) → evalfbbin_v1(X₀, X₁, X₂, X₃) :|: 1+E ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂+X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₆₆: evalfbb4in_v1(X₀, X₁, X₂, X₃) → evalfreturnin(X₀, X₁, X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂+X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₇₄: evalfbb4in_v2(X₀, X₁, X₂, X₃) → evalfbbin_v2(X₀, X₁, X₂, X₃) :|: 1 ≤ E ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₇₅: evalfbb4in_v2(X₀, X₁, X₂, X₃) → evalfbbin_v2(X₀, X₁, X₂, X₃) :|: 1+E ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₇₃: evalfbb4in_v2(X₀, X₁, X₂, X₃) → evalfreturnin(X₀, X₁, X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₈₃: evalfbb4in_v3(X₀, X₁, X₂, X₃) → evalfbbin_v3(X₀, X₁, X₂, X₃) :|: 1 ≤ E ∧ X₃ ≤ 1+X₂ ∧ X₂+X₃ ≤ 1 ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₈₄: evalfbb4in_v3(X₀, X₁, X₂, X₃) → evalfbbin_v3(X₀, X₁, X₂, X₃) :|: 1+E ≤ 0 ∧ X₃ ≤ 1+X₂ ∧ X₂+X₃ ≤ 1 ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₈₂: evalfbb4in_v3(X₀, X₁, X₂, X₃) → evalfreturnin(X₀, X₁, X₂, X₃) :|: X₃ ≤ 1+X₂ ∧ X₂+X₃ ≤ 1 ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₈₉: evalfbb4in_v4(X₀, X₁, X₂, X₃) → evalfbbin_v4(X₀, X₁, X₂, X₃) :|: 1 ≤ E ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃
t₉₀: evalfbb4in_v4(X₀, X₁, X₂, X₃) → evalfbbin_v4(X₀, X₁, X₂, X₃) :|: 1+E ≤ 0 ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃
t₈₈: evalfbb4in_v4(X₀, X₁, X₂, X₃) → evalfreturnin(X₀, X₁, X₂, X₃) :|: X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃
t₉₈: evalfbb4in_v5(X₀, X₁, X₂, X₃) → evalfbbin_v5(X₀, X₁, X₂, X₃) :|: 1 ≤ E ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ 3+X₂ ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₉₉: evalfbb4in_v5(X₀, X₁, X₂, X₃) → evalfbbin_v5(X₀, X₁, X₂, X₃) :|: 1+E ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ 3+X₂ ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₉₇: evalfbb4in_v5(X₀, X₁, X₂, X₃) → evalfreturnin(X₀, X₁, X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ 3+X₂ ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₁₀₄: evalfbb4in_v6(X₀, X₁, X₂, X₃) → evalfbbin_v6(X₀, X₁, X₂, X₃) :|: 1 ≤ E ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₁₀₅: evalfbb4in_v6(X₀, X₁, X₂, X₃) → evalfbbin_v6(X₀, X₁, X₂, X₃) :|: 1+E ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₁₀₃: evalfbb4in_v6(X₀, X₁, X₂, X₃) → evalfreturnin(X₀, X₁, X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₇₀: evalfbbin_v1(X₀, X₁, X₂, X₃) → evalfbb1in_v1(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂+X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₇₇: evalfbbin_v2(X₀, X₁, X₂, X₃) → evalfbb1in_v2(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₇₆: evalfbbin_v2(X₀, X₁, X₂, X₃) → evalfbb2in_v1(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₈₅: evalfbbin_v3(X₀, X₁, X₂, X₃) → evalfbb1in_v3(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₃ ≤ 1+X₂ ∧ X₂+X₃ ≤ 1 ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₉₂: evalfbbin_v4(X₀, X₁, X₂, X₃) → evalfbb1in_v4(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃
t₉₁: evalfbbin_v4(X₀, X₁, X₂, X₃) → evalfbb2in_v2(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂ ∧ X₃ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃
t₁₀₀: evalfbbin_v5(X₀, X₁, X₂, X₃) → evalfbb1in_v5(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ 3+X₂ ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₁₀₇: evalfbbin_v6(X₀, X₁, X₂, X₃) → evalfbb1in_v6(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₁₀₆: evalfbbin_v6(X₀, X₁, X₂, X₃) → evalfbb2in_v3(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₁: evalfentryin(X₀, X₁, X₂, X₃) → evalfbb3in(X₀, X₁, 0, 0) :|: 1 ≤ X₀ ∧ 1+X₀ ≤ X₁
t₁₁: evalfreturnin(X₀, X₁, X₂, X₃) → evalfstop(X₀, X₁, X₂, X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₀: evalfstart(X₀, X₁, X₂, X₃) → evalfentryin(X₀, X₁, X₂, X₃)

All Bounds

Timebounds

Overall timebound:1280⋅X₀⋅X₁+512⋅X₁⋅X₁+216⋅X₁+282⋅X₀+57 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₁₁: 1 {O(1)}
t₆₅: 1 {O(1)}
t₆₆: 1 {O(1)}
t₆₇: 1 {O(1)}
t₆₈: 1 {O(1)}
t₇₀: 1 {O(1)}
t₇₁: 1 {O(1)}
t₇₂: 2⋅X₀+2 {O(n)}
t₇₃: 1 {O(1)}
t₇₄: 2⋅X₀+2 {O(n)}
t₇₅: 2⋅X₀+2 {O(n)}
t₇₆: 1 {O(1)}
t₇₇: 2⋅X₀+2 {O(n)}
t₇₈: 2⋅X₀+1 {O(n)}
t₇₉: 1 {O(1)}
t₈₁: 1 {O(1)}
t₈₂: 1 {O(1)}
t₈₃: 1 {O(1)}
t₈₄: 1 {O(1)}
t₈₅: 1 {O(1)}
t₈₆: 1 {O(1)}
t₈₇: 8⋅X₁+1 {O(n)}
t₈₈: 1 {O(1)}
t₈₉: 8⋅X₀+2 {O(n)}
t₉₀: 8⋅X₀+2 {O(n)}
t₉₁: 1 {O(1)}
t₉₂: 8⋅X₀+2 {O(n)}
t₉₃: 8⋅X₀+1 {O(n)}
t₉₄: 1 {O(1)}
t₉₅: 1 {O(1)}
t₉₆: 16⋅X₁+3 {O(n)}
t₉₇: 1 {O(1)}
t₉₈: 16⋅X₁+2 {O(n)}
t₉₉: 16⋅X₁+2 {O(n)}
t₁₀₀: 16⋅X₁+2 {O(n)}
t₁₀₁: 16⋅X₁+3 {O(n)}
t₁₀₂: 256⋅X₀⋅X₁+256⋅X₁⋅X₁+48⋅X₀+48⋅X₁ {O(n^2)}
t₁₀₃: 1 {O(1)}
t₁₀₄: 256⋅X₀⋅X₁+48⋅X₀ {O(n^2)}
t₁₀₅: 256⋅X₀⋅X₁+256⋅X₁⋅X₁+48⋅X₀+48⋅X₁ {O(n^2)}
t₁₀₆: 16⋅X₁+2 {O(n)}
t₁₀₇: 256⋅X₀⋅X₁+48⋅X₀ {O(n^2)}
t₁₀₈: 256⋅X₀⋅X₁+48⋅X₀ {O(n^2)}
t₁₀₉: 16⋅X₁+2 {O(n)}

Costbounds

Overall costbound: 1280⋅X₀⋅X₁+512⋅X₁⋅X₁+216⋅X₁+282⋅X₀+57 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₁₁: 1 {O(1)}
t₆₅: 1 {O(1)}
t₆₆: 1 {O(1)}
t₆₇: 1 {O(1)}
t₆₈: 1 {O(1)}
t₇₀: 1 {O(1)}
t₇₁: 1 {O(1)}
t₇₂: 2⋅X₀+2 {O(n)}
t₇₃: 1 {O(1)}
t₇₄: 2⋅X₀+2 {O(n)}
t₇₅: 2⋅X₀+2 {O(n)}
t₇₆: 1 {O(1)}
t₇₇: 2⋅X₀+2 {O(n)}
t₇₈: 2⋅X₀+1 {O(n)}
t₇₉: 1 {O(1)}
t₈₁: 1 {O(1)}
t₈₂: 1 {O(1)}
t₈₃: 1 {O(1)}
t₈₄: 1 {O(1)}
t₈₅: 1 {O(1)}
t₈₆: 1 {O(1)}
t₈₇: 8⋅X₁+1 {O(n)}
t₈₈: 1 {O(1)}
t₈₉: 8⋅X₀+2 {O(n)}
t₉₀: 8⋅X₀+2 {O(n)}
t₉₁: 1 {O(1)}
t₉₂: 8⋅X₀+2 {O(n)}
t₉₃: 8⋅X₀+1 {O(n)}
t₉₄: 1 {O(1)}
t₉₅: 1 {O(1)}
t₉₆: 16⋅X₁+3 {O(n)}
t₉₇: 1 {O(1)}
t₉₈: 16⋅X₁+2 {O(n)}
t₉₉: 16⋅X₁+2 {O(n)}
t₁₀₀: 16⋅X₁+2 {O(n)}
t₁₀₁: 16⋅X₁+3 {O(n)}
t₁₀₂: 256⋅X₀⋅X₁+256⋅X₁⋅X₁+48⋅X₀+48⋅X₁ {O(n^2)}
t₁₀₃: 1 {O(1)}
t₁₀₄: 256⋅X₀⋅X₁+48⋅X₀ {O(n^2)}
t₁₀₅: 256⋅X₀⋅X₁+256⋅X₁⋅X₁+48⋅X₀+48⋅X₁ {O(n^2)}
t₁₀₆: 16⋅X₁+2 {O(n)}
t₁₀₇: 256⋅X₀⋅X₁+48⋅X₀ {O(n^2)}
t₁₀₈: 256⋅X₀⋅X₁+48⋅X₀ {O(n^2)}
t₁₀₉: 16⋅X₁+2 {O(n)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: 0 {O(1)}
t₁, X₃: 0 {O(1)}
t₁₁, X₀: 79⋅X₀ {O(n)}
t₁₁, X₁: 79⋅X₁ {O(n)}
t₁₁, X₂: 256⋅X₀⋅X₁+58⋅X₀+5 {O(n^2)}
t₁₁, X₃: 48⋅X₁+16 {O(n)}
t₆₅, X₀: X₀ {O(n)}
t₆₅, X₁: X₁ {O(n)}
t₆₅, X₂: 0 {O(1)}
t₆₅, X₃: 0 {O(1)}
t₆₆, X₀: X₀ {O(n)}
t₆₆, X₁: X₁ {O(n)}
t₆₆, X₂: 0 {O(1)}
t₆₆, X₃: 0 {O(1)}
t₆₇, X₀: X₀ {O(n)}
t₆₇, X₁: X₁ {O(n)}
t₆₇, X₂: 0 {O(1)}
t₆₇, X₃: 0 {O(1)}
t₆₈, X₀: X₀ {O(n)}
t₆₈, X₁: X₁ {O(n)}
t₆₈, X₂: 0 {O(1)}
t₆₈, X₃: 0 {O(1)}
t₇₀, X₀: 2⋅X₀ {O(n)}
t₇₀, X₁: 2⋅X₁ {O(n)}
t₇₀, X₂: 0 {O(1)}
t₇₀, X₃: 0 {O(1)}
t₇₁, X₀: 2⋅X₀ {O(n)}
t₇₁, X₁: 2⋅X₁ {O(n)}
t₇₁, X₂: 1 {O(1)}
t₇₁, X₃: 0 {O(1)}
t₇₂, X₀: 2⋅X₀ {O(n)}
t₇₂, X₁: 2⋅X₁ {O(n)}
t₇₂, X₂: 2⋅X₀+2 {O(n)}
t₇₂, X₃: 0 {O(1)}
t₇₃, X₀: 2⋅X₀ {O(n)}
t₇₃, X₁: 2⋅X₁ {O(n)}
t₇₃, X₂: 2⋅X₀+2 {O(n)}
t₇₃, X₃: 0 {O(1)}
t₇₄, X₀: 2⋅X₀ {O(n)}
t₇₄, X₁: 2⋅X₁ {O(n)}
t₇₄, X₂: 2⋅X₀+2 {O(n)}
t₇₄, X₃: 0 {O(1)}
t₇₅, X₀: 2⋅X₀ {O(n)}
t₇₅, X₁: 2⋅X₁ {O(n)}
t₇₅, X₂: 2⋅X₀+2 {O(n)}
t₇₅, X₃: 0 {O(1)}
t₇₆, X₀: 4⋅X₀ {O(n)}
t₇₆, X₁: 4⋅X₁ {O(n)}
t₇₆, X₂: 4⋅X₀+4 {O(n)}
t₇₆, X₃: 0 {O(1)}
t₇₇, X₀: 2⋅X₀ {O(n)}
t₇₇, X₁: 2⋅X₁ {O(n)}
t₇₇, X₂: 2⋅X₀+2 {O(n)}
t₇₇, X₃: 0 {O(1)}
t₇₈, X₀: 2⋅X₀ {O(n)}
t₇₈, X₁: 2⋅X₁ {O(n)}
t₇₈, X₂: 2⋅X₀+2 {O(n)}
t₇₈, X₃: 0 {O(1)}
t₇₉, X₀: 4⋅X₀ {O(n)}
t₇₉, X₁: 4⋅X₁ {O(n)}
t₇₉, X₂: 0 {O(1)}
t₇₉, X₃: 1 {O(1)}
t₈₁, X₀: 4⋅X₀ {O(n)}
t₈₁, X₁: 4⋅X₁ {O(n)}
t₈₁, X₂: 0 {O(1)}
t₈₁, X₃: 1 {O(1)}
t₈₂, X₀: 4⋅X₀ {O(n)}
t₈₂, X₁: 4⋅X₁ {O(n)}
t₈₂, X₂: 0 {O(1)}
t₈₂, X₃: 1 {O(1)}
t₈₃, X₀: 4⋅X₀ {O(n)}
t₈₃, X₁: 4⋅X₁ {O(n)}
t₈₃, X₂: 0 {O(1)}
t₈₃, X₃: 1 {O(1)}
t₈₄, X₀: 4⋅X₀ {O(n)}
t₈₄, X₁: 4⋅X₁ {O(n)}
t₈₄, X₂: 0 {O(1)}
t₈₄, X₃: 1 {O(1)}
t₈₅, X₀: 8⋅X₀ {O(n)}
t₈₅, X₁: 8⋅X₁ {O(n)}
t₈₅, X₂: 0 {O(1)}
t₈₅, X₃: 1 {O(1)}
t₈₆, X₀: 8⋅X₀ {O(n)}
t₈₆, X₁: 8⋅X₁ {O(n)}
t₈₆, X₂: 1 {O(1)}
t₈₆, X₃: 1 {O(1)}
t₈₇, X₀: 8⋅X₀ {O(n)}
t₈₇, X₁: 8⋅X₁ {O(n)}
t₈₇, X₂: 8⋅X₀+2 {O(n)}
t₈₇, X₃: 1 {O(1)}
t₈₈, X₀: 8⋅X₀ {O(n)}
t₈₈, X₁: 8⋅X₁ {O(n)}
t₈₈, X₂: 8⋅X₀+2 {O(n)}
t₈₈, X₃: 1 {O(1)}
t₈₉, X₀: 8⋅X₀ {O(n)}
t₈₉, X₁: 8⋅X₁ {O(n)}
t₈₉, X₂: 8⋅X₀+2 {O(n)}
t₈₉, X₃: 1 {O(1)}
t₉₀, X₀: 8⋅X₀ {O(n)}
t₉₀, X₁: 8⋅X₁ {O(n)}
t₉₀, X₂: 8⋅X₀+2 {O(n)}
t₉₀, X₃: 1 {O(1)}
t₉₁, X₀: 16⋅X₀ {O(n)}
t₉₁, X₁: 16⋅X₁ {O(n)}
t₉₁, X₂: 16⋅X₀+4 {O(n)}
t₉₁, X₃: 1 {O(1)}
t₉₂, X₀: 8⋅X₀ {O(n)}
t₉₂, X₁: 8⋅X₁ {O(n)}
t₉₂, X₂: 8⋅X₀+2 {O(n)}
t₉₂, X₃: 1 {O(1)}
t₉₃, X₀: 8⋅X₀ {O(n)}
t₉₃, X₁: 8⋅X₁ {O(n)}
t₉₃, X₂: 8⋅X₀+2 {O(n)}
t₉₃, X₃: 1 {O(1)}
t₉₄, X₀: 16⋅X₀ {O(n)}
t₉₄, X₁: 16⋅X₁ {O(n)}
t₉₄, X₂: 0 {O(1)}
t₉₄, X₃: 2 {O(1)}
t₉₅, X₀: 32⋅X₀ {O(n)}
t₉₅, X₁: 32⋅X₁ {O(n)}
t₉₅, X₂: 0 {O(1)}
t₉₅, X₃: 16⋅X₁+6 {O(n)}
t₉₆, X₀: 16⋅X₀ {O(n)}
t₉₆, X₁: 16⋅X₁ {O(n)}
t₉₆, X₂: 0 {O(1)}
t₉₆, X₃: 16⋅X₁+4 {O(n)}
t₉₇, X₀: 16⋅X₀ {O(n)}
t₉₇, X₁: 16⋅X₁ {O(n)}
t₉₇, X₂: 0 {O(1)}
t₉₇, X₃: 16⋅X₁+4 {O(n)}
t₉₈, X₀: 16⋅X₀ {O(n)}
t₉₈, X₁: 16⋅X₁ {O(n)}
t₉₈, X₂: 0 {O(1)}
t₉₈, X₃: 16⋅X₁+4 {O(n)}
t₉₉, X₀: 16⋅X₀ {O(n)}
t₉₉, X₁: 16⋅X₁ {O(n)}
t₉₉, X₂: 0 {O(1)}
t₉₉, X₃: 16⋅X₁+4 {O(n)}
t₁₀₀, X₀: 16⋅X₀ {O(n)}
t₁₀₀, X₁: 16⋅X₁ {O(n)}
t₁₀₀, X₂: 0 {O(1)}
t₁₀₀, X₃: 16⋅X₁+4 {O(n)}
t₁₀₁, X₀: 16⋅X₀ {O(n)}
t₁₀₁, X₁: 16⋅X₁ {O(n)}
t₁₀₁, X₂: 1 {O(1)}
t₁₀₁, X₃: 16⋅X₁+4 {O(n)}
t₁₀₂, X₀: 16⋅X₀ {O(n)}
t₁₀₂, X₁: 16⋅X₁ {O(n)}
t₁₀₂, X₂: 256⋅X₀⋅X₁+48⋅X₀+1 {O(n^2)}
t₁₀₂, X₃: 16⋅X₁+4 {O(n)}
t₁₀₃, X₀: 16⋅X₀ {O(n)}
t₁₀₃, X₁: 16⋅X₁ {O(n)}
t₁₀₃, X₂: 256⋅X₀⋅X₁+48⋅X₀+1 {O(n^2)}
t₁₀₃, X₃: 16⋅X₁+4 {O(n)}
t₁₀₄, X₀: 16⋅X₀ {O(n)}
t₁₀₄, X₁: 16⋅X₁ {O(n)}
t₁₀₄, X₂: 256⋅X₀⋅X₁+48⋅X₀+1 {O(n^2)}
t₁₀₄, X₃: 16⋅X₁+4 {O(n)}
t₁₀₅, X₀: 16⋅X₀ {O(n)}
t₁₀₅, X₁: 16⋅X₁ {O(n)}
t₁₀₅, X₂: 256⋅X₀⋅X₁+48⋅X₀+1 {O(n^2)}
t₁₀₅, X₃: 16⋅X₁+4 {O(n)}
t₁₀₆, X₀: 16⋅X₀ {O(n)}
t₁₀₆, X₁: 16⋅X₁ {O(n)}
t₁₀₆, X₂: 512⋅X₀⋅X₁+96⋅X₀+2 {O(n^2)}
t₁₀₆, X₃: 16⋅X₁+4 {O(n)}
t₁₀₇, X₀: 16⋅X₀ {O(n)}
t₁₀₇, X₁: 16⋅X₁ {O(n)}
t₁₀₇, X₂: 256⋅X₀⋅X₁+48⋅X₀+1 {O(n^2)}
t₁₀₇, X₃: 16⋅X₁+4 {O(n)}
t₁₀₈, X₀: 16⋅X₀ {O(n)}
t₁₀₈, X₁: 16⋅X₁ {O(n)}
t₁₀₈, X₂: 256⋅X₀⋅X₁+48⋅X₀+1 {O(n^2)}
t₁₀₈, X₃: 16⋅X₁+4 {O(n)}
t₁₀₉, X₀: 16⋅X₀ {O(n)}
t₁₀₉, X₁: 16⋅X₁ {O(n)}
t₁₀₉, X₂: 0 {O(1)}
t₁₀₉, X₃: 16⋅X₁+4 {O(n)}