Initial Problem

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_bb6_in, eval_foo_start, eval_foo_stop
Transitions:
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₅, X₆, X₂, X₃, X₄, X₅, X₆)
t₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀+X₁
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀+X₁ ≤ 0
t₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₁ ≤ X₀
t₅: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₁
t₆: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₀-1, X₁, X₄, X₅, X₆)
t₇: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₀-1, X₁, X₄, X₅, X₆) :|: X₁ ≤ X₀ ∧ X₀ ≤ X₁
t₈: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₀, X₁, X₄, X₅, X₆) :|: 1+X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁
t₉: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₀, X₁, X₄, X₅, X₆) :|: 1+X₁ ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁
t₁₀: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₀-1, X₁-1, X₄, X₅, X₆) :|: 1+X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁
t₁₁: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₀-1, X₁-1, X₄, X₅, X₆) :|: 1+X₁ ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁
t₁₂: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₀, X₁-1, X₄, X₅, X₆) :|: 1+X₀ ≤ X₁
t₁₃: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₀, X₁-1, X₄, X₅, X₆) :|: 1+X₁ ≤ X₀ ∧ 1+X₀ ≤ X₁
t₁₄: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₀, X₁-1, X₄, X₅, X₆) :|: 1+X₁ ≤ X₀ ∧ 1+X₀ ≤ X₁
t₁₅: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₀, X₁-1, X₄, X₅, X₆) :|: 1+X₁ ≤ X₀
t₁₆: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₂, X₃, X₂, X₃, X₄, X₅, X₆)
t₁₇: eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₀: eval_foo_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Preprocessing

Cut unsatisfiable transition [t₈: eval_foo_bb4_in→eval_foo_bb5_in; t₉: eval_foo_bb4_in→eval_foo_bb5_in; t₁₀: eval_foo_bb4_in→eval_foo_bb5_in; t₁₁: eval_foo_bb4_in→eval_foo_bb5_in; t₁₃: eval_foo_bb4_in→eval_foo_bb5_in; t₁₄: eval_foo_bb4_in→eval_foo_bb5_in; t₁₅: eval_foo_bb4_in→eval_foo_bb5_in]

Eliminate variables [X₄] that do not contribute to the problem

Found invariant 1 ≤ X₄+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₁ ≤ X₅ ∧ 1 ≤ X₀+X₅ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂+X₃ ∧ X₁ ≤ 1+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀+X₁ for location eval_foo_bb5_in

Found invariant X₁ ≤ X₅ ∧ X₀ ≤ X₄ ∧ X₀+X₁ ≤ 0 for location eval_foo_stop

Found invariant 1 ≤ X₄+X₅ ∧ X₁ ≤ X₅ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_foo_bb3_in

Found invariant 1 ≤ X₄+X₅ ∧ X₁ ≤ X₅ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₀+X₁ for location eval_foo_bb2_in

Found invariant X₁ ≤ X₅ ∧ X₀ ≤ X₄ for location eval_foo_bb1_in

Found invariant X₁ ≤ X₅ ∧ X₀ ≤ X₄ ∧ X₀+X₁ ≤ 0 for location eval_foo_bb6_in

Found invariant 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₁ ≤ X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₁+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ for location eval_foo_bb4_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_bb6_in, eval_foo_start, eval_foo_stop
Transitions:
t₃₅: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb1_in(X₄, X₅, X₂, X₃, X₄, X₅)
t₃₆: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₀+X₁ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₅
t₃₇: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₀+X₁ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₅
t₃₈: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₄+X₅ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₅
t₃₉: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₀ ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₄+X₅ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₅
t₄₀: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb5_in(X₀, X₁, X₀-1, X₁, X₄, X₅) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₄ ∧ 1 ≤ X₄+X₅ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₅
t₄₁: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb5_in(X₀, X₁, X₀-1, X₁, X₄, X₅) :|: X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₁ ≤ X₅
t₄₂: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb5_in(X₀, X₁, X₀, X₁-1, X₄, X₅) :|: 1+X₀ ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₁ ≤ X₅
t₄₃: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb1_in(X₂, X₃, X₂, X₃, X₄, X₅) :|: X₀ ≤ 1+X₂ ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₄+X₅ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₁+X₂ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₅
t₄₄: eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₀+X₁ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₅
t₄₅: eval_foo_start(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅)

MPRF for transition t₃₆: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₀+X₁ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₅ of depth 1:

new bound:

X₄+X₅ {O(n)}

MPRF:

• eval_foo_bb1_in: [X₀+X₁]
• eval_foo_bb2_in: [X₀+X₁-1]
• eval_foo_bb3_in: [X₀+X₁-1]
• eval_foo_bb4_in: [X₀+X₁-1]
• eval_foo_bb5_in: [X₂+X₃]

MPRF for transition t₃₈: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₄+X₅ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₅ of depth 1:

new bound:

2⋅X₄+1 {O(n)}

MPRF:

• eval_foo_bb1_in: [2⋅X₀-1]
• eval_foo_bb2_in: [2⋅X₀-1]
• eval_foo_bb3_in: [2⋅X₀-2]
• eval_foo_bb4_in: [2⋅X₀-1]
• eval_foo_bb5_in: [2⋅X₂-1]

MPRF for transition t₃₉: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₀ ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₄+X₅ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₅ of depth 1:

new bound:

X₄+X₅ {O(n)}

MPRF:

• eval_foo_bb1_in: [X₀+X₁]
• eval_foo_bb2_in: [X₀+X₁]
• eval_foo_bb3_in: [X₀+X₁-1]
• eval_foo_bb4_in: [X₀+X₁-1]
• eval_foo_bb5_in: [X₂+X₃]

MPRF for transition t₄₀: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb5_in(X₀, X₁, X₀-1, X₁, X₄, X₅) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₄ ∧ 1 ≤ X₄+X₅ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₅ of depth 1:

new bound:

X₄ {O(n)}

MPRF:

• eval_foo_bb1_in: [X₀]
• eval_foo_bb2_in: [X₀]
• eval_foo_bb3_in: [X₀]
• eval_foo_bb4_in: [X₀]
• eval_foo_bb5_in: [X₂]

MPRF for transition t₄₁: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb5_in(X₀, X₁, X₀-1, X₁, X₄, X₅) :|: X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₁ ≤ X₅ of depth 1:

new bound:

X₄ {O(n)}

MPRF:

• eval_foo_bb1_in: [X₀]
• eval_foo_bb2_in: [X₀]
• eval_foo_bb3_in: [X₀]
• eval_foo_bb4_in: [X₀]
• eval_foo_bb5_in: [X₂]

MPRF for transition t₄₂: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb5_in(X₀, X₁, X₀, X₁-1, X₄, X₅) :|: 1+X₀ ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₁ ≤ X₅ of depth 1:

new bound:

3⋅X₅+1 {O(n)}

MPRF:

• eval_foo_bb1_in: [2⋅X₁+X₅-1]
• eval_foo_bb2_in: [2⋅X₁+X₅-1]
• eval_foo_bb3_in: [2⋅X₁+X₅-1]
• eval_foo_bb4_in: [2⋅X₁+X₅-1]
• eval_foo_bb5_in: [2⋅X₃+X₅-1]

MPRF for transition t₄₃: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb1_in(X₂, X₃, X₂, X₃, X₄, X₅) :|: X₀ ≤ 1+X₂ ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₄+X₅ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₁+X₂ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₅ of depth 1:

new bound:

X₄+X₅ {O(n)}

MPRF:

• eval_foo_bb1_in: [X₀+X₁]
• eval_foo_bb2_in: [X₀+X₁]
• eval_foo_bb3_in: [X₀+X₁]
• eval_foo_bb4_in: [X₀+X₁]
• eval_foo_bb5_in: [1+X₂+X₃]

All Bounds

Timebounds

Overall timebound:6⋅X₅+7⋅X₄+6 {O(n)}
t₃₅: 1 {O(1)}
t₃₆: X₄+X₅ {O(n)}
t₃₇: 1 {O(1)}
t₃₈: 2⋅X₄+1 {O(n)}
t₃₉: X₄+X₅ {O(n)}
t₄₀: X₄ {O(n)}
t₄₁: X₄ {O(n)}
t₄₂: 3⋅X₅+1 {O(n)}
t₄₃: X₄+X₅ {O(n)}
t₄₄: 1 {O(1)}
t₄₅: 1 {O(1)}

Costbounds

Overall costbound: 6⋅X₅+7⋅X₄+6 {O(n)}
t₃₅: 1 {O(1)}
t₃₆: X₄+X₅ {O(n)}
t₃₇: 1 {O(1)}
t₃₈: 2⋅X₄+1 {O(n)}
t₃₉: X₄+X₅ {O(n)}
t₄₀: X₄ {O(n)}
t₄₁: X₄ {O(n)}
t₄₂: 3⋅X₅+1 {O(n)}
t₄₃: X₄+X₅ {O(n)}
t₄₄: 1 {O(1)}
t₄₅: 1 {O(1)}

Sizebounds

t₃₅, X₀: X₄ {O(n)}
t₃₅, X₁: X₅ {O(n)}
t₃₅, X₂: X₂ {O(n)}
t₃₅, X₃: X₃ {O(n)}
t₃₅, X₄: X₄ {O(n)}
t₃₅, X₅: X₅ {O(n)}
t₃₆, X₀: 2⋅X₄+X₅ {O(n)}
t₃₆, X₁: 2⋅X₅+X₄ {O(n)}
t₃₆, X₂: 3⋅X₅+6⋅X₄+X₂ {O(n)}
t₃₆, X₃: 3⋅X₄+6⋅X₅+X₃ {O(n)}
t₃₆, X₄: X₄ {O(n)}
t₃₆, X₅: X₅ {O(n)}
t₃₇, X₀: 3⋅X₄+X₅ {O(n)}
t₃₇, X₁: 3⋅X₅+X₄ {O(n)}
t₃₇, X₂: 3⋅X₅+6⋅X₄+X₂ {O(n)}
t₃₇, X₃: 3⋅X₄+6⋅X₅+X₃ {O(n)}
t₃₇, X₄: 2⋅X₄ {O(n)}
t₃₇, X₅: 2⋅X₅ {O(n)}
t₃₈, X₀: 2⋅X₄+X₅ {O(n)}
t₃₈, X₁: 2⋅X₅+X₄ {O(n)}
t₃₈, X₂: 3⋅X₅+6⋅X₄+X₂ {O(n)}
t₃₈, X₃: 3⋅X₄+6⋅X₅+X₃ {O(n)}
t₃₈, X₄: X₄ {O(n)}
t₃₈, X₅: X₅ {O(n)}
t₃₉, X₀: 2⋅X₄+X₅ {O(n)}
t₃₉, X₁: 2⋅X₅+X₄ {O(n)}
t₃₉, X₂: 3⋅X₅+6⋅X₄+X₂ {O(n)}
t₃₉, X₃: 3⋅X₄+6⋅X₅+X₃ {O(n)}
t₃₉, X₄: X₄ {O(n)}
t₃₉, X₅: X₅ {O(n)}
t₄₀, X₀: 2⋅X₄+X₅ {O(n)}
t₄₀, X₁: 2⋅X₅+X₄ {O(n)}
t₄₀, X₂: 2⋅X₄+X₅ {O(n)}
t₄₀, X₃: 2⋅X₅+X₄ {O(n)}
t₄₀, X₄: X₄ {O(n)}
t₄₀, X₅: X₅ {O(n)}
t₄₁, X₀: 2⋅X₄+X₅ {O(n)}
t₄₁, X₁: 2⋅X₅+X₄ {O(n)}
t₄₁, X₂: 2⋅X₄+X₅ {O(n)}
t₄₁, X₃: 2⋅X₅+X₄ {O(n)}
t₄₁, X₄: X₄ {O(n)}
t₄₁, X₅: X₅ {O(n)}
t₄₂, X₀: 2⋅X₄+X₅ {O(n)}
t₄₂, X₁: 2⋅X₅+X₄ {O(n)}
t₄₂, X₂: 2⋅X₄+X₅ {O(n)}
t₄₂, X₃: 2⋅X₅+X₄ {O(n)}
t₄₂, X₄: X₄ {O(n)}
t₄₂, X₅: X₅ {O(n)}
t₄₃, X₀: 2⋅X₄+X₅ {O(n)}
t₄₃, X₁: 2⋅X₅+X₄ {O(n)}
t₄₃, X₂: 3⋅X₅+6⋅X₄ {O(n)}
t₄₃, X₃: 3⋅X₄+6⋅X₅ {O(n)}
t₄₃, X₄: X₄ {O(n)}
t₄₃, X₅: X₅ {O(n)}
t₄₄, X₀: 3⋅X₄+X₅ {O(n)}
t₄₄, X₁: 3⋅X₅+X₄ {O(n)}
t₄₄, X₂: 3⋅X₅+6⋅X₄+X₂ {O(n)}
t₄₄, X₃: 3⋅X₄+6⋅X₅+X₃ {O(n)}
t₄₄, X₄: 2⋅X₄ {O(n)}
t₄₄, X₅: 2⋅X₅ {O(n)}
t₄₅, X₀: X₀ {O(n)}
t₄₅, X₁: X₁ {O(n)}
t₄₅, X₂: X₂ {O(n)}
t₄₅, X₃: X₃ {O(n)}
t₄₅, X₄: X₄ {O(n)}
t₄₅, X₅: X₅ {O(n)}