Initial Problem

Start: eval_non_linear08_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉
Temp_Vars:
Locations: eval_non_linear08_.critedge_in, eval_non_linear08_bb0_in, eval_non_linear08_bb1_in, eval_non_linear08_bb2_in, eval_non_linear08_start, eval_non_linear08_stop
Transitions:
t₇: eval_non_linear08_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₁: eval_non_linear08_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_bb1_in(X₆, X₇, X₈, X₉, X₅, X₅, X₆, X₇, X₈, X₉)
t₄: eval_non_linear08_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀+2⋅X₁ ≤ X₄ ∧ X₂ ≤ X₃+X₄
t₅: eval_non_linear08_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 0
t₂: eval_non_linear08_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₄ ≤ X₀+2⋅X₁ ∧ 1 ≤ X₄
t₃: eval_non_linear08_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₃+X₄ ≤ X₂ ∧ 1 ≤ X₄
t₆: eval_non_linear08_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_bb1_in(2⋅X₀+2⋅(X₀)², 2⋅X₁-(X₀)², X₂+(X₂)²-3⋅X₃, (X₂)²-2⋅X₂, 4⋅X₄, X₅, X₆, X₇, X₈, X₉)
t₀: eval_non_linear08_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)

Preprocessing

Found invariant X₅ ≤ X₄ for location eval_non_linear08_stop

Found invariant X₅ ≤ X₄ for location eval_non_linear08_.critedge_in

Found invariant X₅ ≤ X₄ for location eval_non_linear08_bb1_in

Found invariant X₅ ≤ X₄ ∧ 1 ≤ X₄ for location eval_non_linear08_bb2_in

Problem after Preprocessing

Start: eval_non_linear08_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉
Temp_Vars:
Locations: eval_non_linear08_.critedge_in, eval_non_linear08_bb0_in, eval_non_linear08_bb1_in, eval_non_linear08_bb2_in, eval_non_linear08_start, eval_non_linear08_stop
Transitions:
t₇: eval_non_linear08_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₅ ≤ X₄
t₁: eval_non_linear08_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_bb1_in(X₆, X₇, X₈, X₉, X₅, X₅, X₆, X₇, X₈, X₉)
t₄: eval_non_linear08_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀+2⋅X₁ ≤ X₄ ∧ X₂ ≤ X₃+X₄ ∧ X₅ ≤ X₄
t₅: eval_non_linear08_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 0 ∧ X₅ ≤ X₄
t₂: eval_non_linear08_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₄ ≤ X₀+2⋅X₁ ∧ 1 ≤ X₄ ∧ X₅ ≤ X₄
t₃: eval_non_linear08_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₃+X₄ ≤ X₂ ∧ 1 ≤ X₄ ∧ X₅ ≤ X₄
t₆: eval_non_linear08_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_bb1_in(2⋅X₀+2⋅(X₀)², 2⋅X₁-(X₀)², X₂+(X₂)²-3⋅X₃, (X₂)²-2⋅X₂, 4⋅X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₄ ∧ X₅ ≤ X₄
t₀: eval_non_linear08_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_non_linear08_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)

Found invariant 3+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 5 ≤ X₄+X₅ ∧ 4 ≤ X₄ for location eval_non_linear08_bb1_in_v1

Found invariant X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₄ for location eval_non_linear08_bb2_in_v1

Found invariant X₅ ≤ X₄ for location eval_non_linear08_stop

Found invariant X₅ ≤ X₄ for location eval_non_linear08_.critedge_in

Found invariant X₉ ≤ X₃ ∧ X₃ ≤ X₉ ∧ X₈ ≤ X₂ ∧ X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₁ ≤ X₇ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅ for location eval_non_linear08_bb1_in

Found invariant X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₄ for location eval_non_linear08_bb2_in_v2

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: inf {Infinity}
t₃: inf {Infinity}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: inf {Infinity}
t₇: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: inf {Infinity}
t₃: inf {Infinity}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: inf {Infinity}
t₇: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₆ {O(n)}
t₀, X₇: X₇ {O(n)}
t₀, X₈: X₈ {O(n)}
t₀, X₉: X₉ {O(n)}
t₁, X₀: X₆ {O(n)}
t₁, X₁: X₇ {O(n)}
t₁, X₂: X₈ {O(n)}
t₁, X₃: X₉ {O(n)}
t₁, X₄: X₅ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₇ {O(n)}
t₁, X₈: X₈ {O(n)}
t₁, X₉: X₉ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₂, X₇: X₇ {O(n)}
t₂, X₈: X₈ {O(n)}
t₂, X₉: X₉ {O(n)}
t₃, X₅: X₅ {O(n)}
t₃, X₆: X₆ {O(n)}
t₃, X₇: X₇ {O(n)}
t₃, X₈: X₈ {O(n)}
t₃, X₉: X₉ {O(n)}
t₄, X₅: 2⋅X₅ {O(n)}
t₄, X₆: 2⋅X₆ {O(n)}
t₄, X₇: 2⋅X₇ {O(n)}
t₄, X₈: 2⋅X₈ {O(n)}
t₄, X₉: 2⋅X₉ {O(n)}
t₅, X₀: X₆ {O(n)}
t₅, X₁: X₇ {O(n)}
t₅, X₂: X₈ {O(n)}
t₅, X₃: X₉ {O(n)}
t₅, X₄: X₅ {O(n)}
t₅, X₅: X₅ {O(n)}
t₅, X₆: X₆ {O(n)}
t₅, X₇: X₇ {O(n)}
t₅, X₈: X₈ {O(n)}
t₅, X₉: X₉ {O(n)}
t₆, X₅: X₅ {O(n)}
t₆, X₆: X₆ {O(n)}
t₆, X₇: X₇ {O(n)}
t₆, X₈: X₈ {O(n)}
t₆, X₉: X₉ {O(n)}
t₇, X₅: 3⋅X₅ {O(n)}
t₇, X₆: 3⋅X₆ {O(n)}
t₇, X₇: 3⋅X₇ {O(n)}
t₇, X₈: 3⋅X₈ {O(n)}
t₇, X₉: 3⋅X₉ {O(n)}