KoAT2 Proof Output

Initial Problem

Preprocessing

Found invariant X₁ ≤ X₀ for location eval_wcet2_bb1_in

Found invariant 0 ≤ X₂ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 for location eval_wcet2_bb4_in

Found invariant X₁ ≤ X₀ ∧ 5 ≤ X₀ for location eval_wcet2_bb5_in

Found invariant 0 ≤ X₂ ∧ X₁ ≤ 4+X₂ ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 for location eval_wcet2_bb2_in

Found invariant X₂ ≤ 9 ∧ X₁+X₂ ≤ 13 ∧ X₂ ≤ 6+X₀ ∧ X₀+X₂ ≤ 13 ∧ 0 ≤ X₂ ∧ X₁ ≤ 4+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ 3 ≤ X₀ for location eval_wcet2_bb3_in

Found invariant X₁ ≤ X₀ ∧ 5 ≤ X₀ for location eval_wcet2_stop

Problem after Preprocessing

Start: eval_wcet2_start
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: eval_wcet2_bb0_in, eval_wcet2_bb1_in, eval_wcet2_bb2_in, eval_wcet2_bb3_in, eval_wcet2_bb4_in, eval_wcet2_bb5_in, eval_wcet2_start, eval_wcet2_stop
Transitions:
t₁: eval_wcet2_bb0_in(X₀, X₁, X₂) → eval_wcet2_bb1_in(X₁, X₁, X₂)
t₂: eval_wcet2_bb1_in(X₀, X₁, X₂) → eval_wcet2_bb2_in(X₀, X₁, 0) :|: X₀ ≤ 4 ∧ X₁ ≤ X₀
t₃: eval_wcet2_bb1_in(X₀, X₁, X₂) → eval_wcet2_bb5_in(X₀, X₁, X₂) :|: 5 ≤ X₀ ∧ X₁ ≤ X₀
t₄: eval_wcet2_bb2_in(X₀, X₁, X₂) → eval_wcet2_bb3_in(X₀, X₁, X₂) :|: X₂ ≤ 9 ∧ 3 ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
t₅: eval_wcet2_bb2_in(X₀, X₁, X₂) → eval_wcet2_bb4_in(X₀, X₁, X₂) :|: X₀ ≤ 2 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
t₆: eval_wcet2_bb2_in(X₀, X₁, X₂) → eval_wcet2_bb4_in(X₀, X₁, X₂) :|: 10 ≤ X₂ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
t₇: eval_wcet2_bb3_in(X₀, X₁, X₂) → eval_wcet2_bb2_in(X₀, X₁, 1+X₂) :|: X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
t₈: eval_wcet2_bb4_in(X₀, X₁, X₂) → eval_wcet2_bb1_in(1+X₀, X₁, X₂) :|: X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₁ ≤ 4 ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 2+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
t₉: eval_wcet2_bb5_in(X₀, X₁, X₂) → eval_wcet2_stop(X₀, X₁, X₂) :|: 5 ≤ X₀ ∧ X₁ ≤ X₀
t₀: eval_wcet2_start(X₀, X₁, X₂) → eval_wcet2_bb0_in(X₀, X₁, X₂)

MPRF for transition t₂: eval_wcet2_bb1_in(X₀, X₁, X₂) → eval_wcet2_bb2_in(X₀, X₁, 0) :|: X₀ ≤ 4 ∧ X₁ ≤ X₀ of depth 1:

new bound:

X₁+5 {O(n)}

MPRF:

• eval_wcet2_bb1_in: [5-X₀]
• eval_wcet2_bb2_in: [4-X₀]
• eval_wcet2_bb3_in: [4-X₀]
• eval_wcet2_bb4_in: [4-X₀]

MPRF for transition t₅: eval_wcet2_bb2_in(X₀, X₁, X₂) → eval_wcet2_bb4_in(X₀, X₁, X₂) :|: X₀ ≤ 2 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ of depth 1:

new bound:

X₁+5 {O(n)}

MPRF:

• eval_wcet2_bb1_in: [5-X₀]
• eval_wcet2_bb2_in: [5-X₀]
• eval_wcet2_bb3_in: [5-X₀]
• eval_wcet2_bb4_in: [4-X₀]

MPRF for transition t₆: eval_wcet2_bb2_in(X₀, X₁, X₂) → eval_wcet2_bb4_in(X₀, X₁, X₂) :|: 10 ≤ X₂ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ of depth 1:

new bound:

X₁+5 {O(n)}

MPRF:

• eval_wcet2_bb1_in: [5-X₀]
• eval_wcet2_bb2_in: [5-X₀]
• eval_wcet2_bb3_in: [5-X₀]
• eval_wcet2_bb4_in: [4-X₀]

MPRF for transition t₈: eval_wcet2_bb4_in(X₀, X₁, X₂) → eval_wcet2_bb1_in(1+X₀, X₁, X₂) :|: X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₁ ≤ 4 ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 2+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ of depth 1:

new bound:

X₁+5 {O(n)}

MPRF:

• eval_wcet2_bb1_in: [5-X₀]
• eval_wcet2_bb2_in: [5-X₀]
• eval_wcet2_bb3_in: [5-X₀]
• eval_wcet2_bb4_in: [5-X₀]

TWN: t₇: eval_wcet2_bb3_in→eval_wcet2_bb2_in

cycle: [t₇: eval_wcet2_bb3_in→eval_wcet2_bb2_in; t₄: eval_wcet2_bb2_in→eval_wcet2_bb3_in]
loop: (X₂ ≤ 9 ∧ 3 ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂,(X₀,X₁,X₂) -> (X₀,X₁,1+X₂))
order: [X₂; X₁; X₀]
closed-form:

X₂: X₂ + [[n != 0]]⋅n^1
X₁: X₁
X₀: X₀

Termination: true
Formula:

X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 13 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 13 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₁+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 9 ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₁+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₁+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 9 ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 9 ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 12 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₁+X₂ ≤ 12 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ 9 ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 9 ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₁ ≤ 8 ∧ X₂ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₁ ≤ 8 ∧ X₂ ≤ 5+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
∨ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ 1 ≤ 0 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂

Stabilization-Threshold for: X₂ ≤ 6+X₀

alphas_abs: 7+X₀+X₂
M: 0
N: 1
Bound: 2⋅X₀+2⋅X₂+16 {O(n)}

Stabilization-Threshold for: X₂ ≤ 9

alphas_abs: 10+X₂
M: 0
N: 1
Bound: 2⋅X₂+22 {O(n)}

Stabilization-Threshold for: X₁+X₂ ≤ 13

alphas_abs: 14+X₁+X₂
M: 0
N: 1
Bound: 2⋅X₁+2⋅X₂+30 {O(n)}

Stabilization-Threshold for: X₀+X₂ ≤ 13

alphas_abs: 14+X₀+X₂
M: 0
N: 1
Bound: 2⋅X₀+2⋅X₂+30 {O(n)}

TWN - Lifting for [4: eval_wcet2_bb2_in->eval_wcet2_bb3_in; 7: eval_wcet2_bb3_in->eval_wcet2_bb2_in] of 2⋅X₁+4⋅X₀+8⋅X₂+100 {O(n)}

relevant size-bounds w.r.t. t₂: eval_wcet2_bb1_in→eval_wcet2_bb2_in:
X₀: 2⋅X₁+16 {O(n)}
X₁: X₁ {O(n)}
X₂: 0 {O(1)}
Runtime-bound of t₂: X₁+5 {O(n)}
Results in: 10⋅X₁⋅X₁+214⋅X₁+820 {O(n^2)}

Cut unsatisfiable transition [t₆: eval_wcet2_bb2_in→eval_wcet2_bb4_in; t₅₃: eval_wcet2_bb2_in→eval_wcet2_bb4_in]

Found invariant X₂ ≤ 10 ∧ X₁+X₂ ≤ 14 ∧ X₂ ≤ 7+X₀ ∧ X₀+X₂ ≤ 14 ∧ 1 ≤ X₂ ∧ X₁ ≤ 3+X₂ ∧ 4 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ 3 ≤ X₀ for location eval_wcet2_bb2_in_v1

Found invariant X₂ ≤ 0 ∧ X₁+X₂ ≤ 4 ∧ 3+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ X₁ ≤ 4+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ 3 ≤ X₀ for location eval_wcet2_bb3_in_v1

Found invariant X₂ ≤ 9 ∧ X₁+X₂ ≤ 13 ∧ X₂ ≤ 6+X₀ ∧ X₀+X₂ ≤ 13 ∧ 1 ≤ X₂ ∧ X₁ ≤ 3+X₂ ∧ 4 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ 3 ≤ X₀ for location eval_wcet2_bb3_in_v2

Found invariant X₁ ≤ X₀ for location eval_wcet2_bb1_in

Found invariant X₂ ≤ 10 ∧ X₁+X₂ ≤ 14 ∧ X₀+X₂ ≤ 14 ∧ 0 ≤ X₂ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 for location eval_wcet2_bb4_in

Found invariant X₁ ≤ X₀ ∧ 5 ≤ X₀ for location eval_wcet2_bb5_in

Found invariant X₂ ≤ 0 ∧ X₁+X₂ ≤ 4 ∧ X₀+X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ X₁ ≤ 4+X₂ ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 for location eval_wcet2_bb2_in

Found invariant X₁ ≤ X₀ ∧ 5 ≤ X₀ for location eval_wcet2_stop

Analysing control-flow refined program

knowledge_propagation leads to new time bound X₁+5 {O(n)} for transition t₅₄: eval_wcet2_bb2_in(X₀, X₁, X₂) → eval_wcet2_bb4_in(X₀, X₁, X₂) :|: X₀ ≤ 2 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀+X₂ ≤ 4 ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₁+X₂ ≤ 4 ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₁+5 {O(n)} for transition t₅₅: eval_wcet2_bb2_in(X₀, X₁, X₂) → eval_wcet2_bb3_in_v1(X₀, X₁, X₂) :|: X₂ ≤ 9 ∧ 3 ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀+X₂ ≤ 4 ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₁+X₂ ≤ 4 ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₁+5 {O(n)} for transition t₅₆: eval_wcet2_bb3_in_v1(X₀, X₁, X₂) → eval_wcet2_bb2_in_v1(X₀, X₁, 1+X₂) :|: X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀+X₂ ≤ 4 ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₁+X₂ ≤ 4 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

MPRF for transition t₅₇: eval_wcet2_bb2_in_v1(X₀, X₁, X₂) → eval_wcet2_bb4_in(X₀, X₁, X₂) :|: 10 ≤ X₂ ∧ X₀+X₂ ≤ 14 ∧ X₁+X₂ ≤ 14 ∧ X₂ ≤ 10 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 7+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ 3+X₂ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ of depth 1:

new bound:

X₁+15 {O(n)}

MPRF:

• eval_wcet2_bb1_in: [15-X₀]
• eval_wcet2_bb2_in: [15-X₀]
• eval_wcet2_bb2_in_v1: [15-X₀]
• eval_wcet2_bb3_in_v1: [15-X₀]
• eval_wcet2_bb3_in_v2: [15-X₀]
• eval_wcet2_bb4_in: [14-X₀]

MPRF for transition t₅₈: eval_wcet2_bb2_in_v1(X₀, X₁, X₂) → eval_wcet2_bb3_in_v2(X₀, X₁, X₂) :|: X₂ ≤ 9 ∧ 3 ≤ X₀ ∧ X₀+X₂ ≤ 14 ∧ X₁+X₂ ≤ 14 ∧ X₂ ≤ 10 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 7+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ 3+X₂ ∧ 1 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ of depth 1:

new bound:

9⋅X₁+45 {O(n)}

MPRF:

• eval_wcet2_bb1_in: [45-9⋅X₀]
• eval_wcet2_bb2_in: [45-9⋅X₀]
• eval_wcet2_bb2_in_v1: [46-9⋅X₀-X₂]
• eval_wcet2_bb3_in_v1: [45-9⋅X₀]
• eval_wcet2_bb3_in_v2: [45-9⋅X₀-X₂]
• eval_wcet2_bb4_in: [36-9⋅X₀]

MPRF for transition t₅₉: eval_wcet2_bb3_in_v2(X₀, X₁, X₂) → eval_wcet2_bb2_in_v1(X₀, X₁, 1+X₂) :|: X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ 3+X₂ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ of depth 1:

new bound:

9⋅X₁+45 {O(n)}

MPRF:

• eval_wcet2_bb1_in: [45-9⋅X₀]
• eval_wcet2_bb2_in: [45-9⋅X₀]
• eval_wcet2_bb2_in_v1: [46-9⋅X₀-X₂]
• eval_wcet2_bb3_in_v1: [45-9⋅X₀]
• eval_wcet2_bb3_in_v2: [46-9⋅X₀-X₂]
• eval_wcet2_bb4_in: [36-9⋅X₀]

CFR: Improvement to new bound with the following program:

method: PartialEvaluation new bound:

O(n)

cfr-program:

Start: eval_wcet2_start
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: eval_wcet2_bb0_in, eval_wcet2_bb1_in, eval_wcet2_bb2_in, eval_wcet2_bb2_in_v1, eval_wcet2_bb3_in_v1, eval_wcet2_bb3_in_v2, eval_wcet2_bb4_in, eval_wcet2_bb5_in, eval_wcet2_start, eval_wcet2_stop
Transitions:
t₁: eval_wcet2_bb0_in(X₀, X₁, X₂) → eval_wcet2_bb1_in(X₁, X₁, X₂)
t₂: eval_wcet2_bb1_in(X₀, X₁, X₂) → eval_wcet2_bb2_in(X₀, X₁, 0) :|: X₀ ≤ 4 ∧ X₁ ≤ X₀
t₃: eval_wcet2_bb1_in(X₀, X₁, X₂) → eval_wcet2_bb5_in(X₀, X₁, X₂) :|: 5 ≤ X₀ ∧ X₁ ≤ X₀
t₅₅: eval_wcet2_bb2_in(X₀, X₁, X₂) → eval_wcet2_bb3_in_v1(X₀, X₁, X₂) :|: X₂ ≤ 9 ∧ 3 ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀+X₂ ≤ 4 ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₁+X₂ ≤ 4 ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₅: eval_wcet2_bb2_in(X₀, X₁, X₂) → eval_wcet2_bb4_in(X₀, X₁, X₂) :|: X₀ ≤ 2 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀+X₂ ≤ 4 ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₁+X₂ ≤ 4 ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₅₄: eval_wcet2_bb2_in(X₀, X₁, X₂) → eval_wcet2_bb4_in(X₀, X₁, X₂) :|: X₀ ≤ 2 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀+X₂ ≤ 4 ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₁+X₂ ≤ 4 ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₅₈: eval_wcet2_bb2_in_v1(X₀, X₁, X₂) → eval_wcet2_bb3_in_v2(X₀, X₁, X₂) :|: X₂ ≤ 9 ∧ 3 ≤ X₀ ∧ X₀+X₂ ≤ 14 ∧ X₁+X₂ ≤ 14 ∧ X₂ ≤ 10 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 7+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ 3+X₂ ∧ 1 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
t₅₇: eval_wcet2_bb2_in_v1(X₀, X₁, X₂) → eval_wcet2_bb4_in(X₀, X₁, X₂) :|: 10 ≤ X₂ ∧ X₀+X₂ ≤ 14 ∧ X₁+X₂ ≤ 14 ∧ X₂ ≤ 10 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 7+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ 3+X₂ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
t₅₆: eval_wcet2_bb3_in_v1(X₀, X₁, X₂) → eval_wcet2_bb2_in_v1(X₀, X₁, 1+X₂) :|: X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀+X₂ ≤ 4 ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₁+X₂ ≤ 4 ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₅₉: eval_wcet2_bb3_in_v2(X₀, X₁, X₂) → eval_wcet2_bb2_in_v1(X₀, X₁, 1+X₂) :|: X₀+X₂ ≤ 13 ∧ X₁+X₂ ≤ 13 ∧ X₂ ≤ 9 ∧ X₀+X₁ ≤ 8 ∧ X₂ ≤ 6+X₀ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 4 ∧ X₁ ≤ 4+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ 3+X₂ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
t₈: eval_wcet2_bb4_in(X₀, X₁, X₂) → eval_wcet2_bb1_in(1+X₀, X₁, X₂) :|: X₀+X₂ ≤ 14 ∧ X₁+X₂ ≤ 14 ∧ X₂ ≤ 10 ∧ X₀+X₁ ≤ 8 ∧ X₀ ≤ 4 ∧ X₁ ≤ 4 ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 2+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
t₉: eval_wcet2_bb5_in(X₀, X₁, X₂) → eval_wcet2_stop(X₀, X₁, X₂) :|: 5 ≤ X₀ ∧ X₁ ≤ X₀
t₀: eval_wcet2_start(X₀, X₁, X₂) → eval_wcet2_bb0_in(X₀, X₁, X₂)

All Bounds

Timebounds

Overall timebound:25⋅X₁+139 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₁+5 {O(n)}
t₃: 1 {O(1)}
t₅: X₁+5 {O(n)}
t₈: X₁+5 {O(n)}
t₉: 1 {O(1)}
t₅₄: X₁+5 {O(n)}
t₅₅: X₁+5 {O(n)}
t₅₆: X₁+5 {O(n)}
t₅₇: X₁+15 {O(n)}
t₅₈: 9⋅X₁+45 {O(n)}
t₅₉: 9⋅X₁+45 {O(n)}

Costbounds

Overall costbound: 25⋅X₁+139 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₁+5 {O(n)}
t₃: 1 {O(1)}
t₅: X₁+5 {O(n)}
t₈: X₁+5 {O(n)}
t₉: 1 {O(1)}
t₅₄: X₁+5 {O(n)}
t₅₅: X₁+5 {O(n)}
t₅₆: X₁+5 {O(n)}
t₅₇: X₁+15 {O(n)}
t₅₈: 9⋅X₁+45 {O(n)}
t₅₉: 9⋅X₁+45 {O(n)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₁, X₀: X₁ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₂, X₀: 2⋅X₁+9 {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: 0 {O(1)}
t₃, X₀: 3⋅X₁+9 {O(n)}
t₃, X₁: 2⋅X₁ {O(n)}
t₃, X₂: X₂+10 {O(n)}
t₅, X₀: 2⋅X₁+9 {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: 0 {O(1)}
t₈, X₀: 2⋅X₁+9 {O(n)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: 10 {O(1)}
t₉, X₀: 3⋅X₁+9 {O(n)}
t₉, X₁: 2⋅X₁ {O(n)}
t₉, X₂: X₂+10 {O(n)}
t₅₄, X₀: 2⋅X₁+9 {O(n)}
t₅₄, X₁: X₁ {O(n)}
t₅₄, X₂: 0 {O(1)}
t₅₅, X₀: 4 {O(1)}
t₅₅, X₁: X₁ {O(n)}
t₅₅, X₂: 0 {O(1)}
t₅₆, X₀: 4 {O(1)}
t₅₆, X₁: X₁ {O(n)}
t₅₆, X₂: 1 {O(1)}
t₅₇, X₀: 4 {O(1)}
t₅₇, X₁: X₁ {O(n)}
t₅₇, X₂: 10 {O(1)}
t₅₈, X₀: 4 {O(1)}
t₅₈, X₁: X₁ {O(n)}
t₅₈, X₂: 9 {O(1)}
t₅₉, X₀: 4 {O(1)}
t₅₉, X₁: X₁ {O(n)}
t₅₉, X₂: 10 {O(1)}