Initial Problem

Start: eval_non_linear07_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: eval_non_linear07_.critedge_in, eval_non_linear07_bb0_in, eval_non_linear07_bb1_in, eval_non_linear07_bb2_in, eval_non_linear07_start, eval_non_linear07_stop
Transitions:
t₇: eval_non_linear07_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁: eval_non_linear07_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_bb1_in(X₆, X₇, X₄, X₅, X₄, X₅, X₆, X₇)
t₄: eval_non_linear07_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+2⋅X₁ ≤ X₃ ∧ X₂ ≤ X₃
t₅: eval_non_linear07_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ 0
t₂: eval_non_linear07_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₃ ≤ X₀+2⋅X₁ ∧ 1 ≤ X₃
t₃: eval_non_linear07_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₃ ≤ X₂ ∧ 1 ≤ X₃
t₆: eval_non_linear07_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_bb1_in(2⋅X₀+2⋅(X₀)², 2⋅X₁-(X₀)², 3⋅X₂, 4⋅X₃, X₄, X₅, X₆, X₇)
t₀: eval_non_linear07_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)

Preprocessing

Found invariant X₅ ≤ X₃ for location eval_non_linear07_stop

Found invariant X₅ ≤ X₃ for location eval_non_linear07_.critedge_in

Found invariant X₅ ≤ X₃ for location eval_non_linear07_bb1_in

Found invariant X₅ ≤ X₃ ∧ 1 ≤ X₃ for location eval_non_linear07_bb2_in

Problem after Preprocessing

Start: eval_non_linear07_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: eval_non_linear07_.critedge_in, eval_non_linear07_bb0_in, eval_non_linear07_bb1_in, eval_non_linear07_bb2_in, eval_non_linear07_start, eval_non_linear07_stop
Transitions:
t₇: eval_non_linear07_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₅ ≤ X₃
t₁: eval_non_linear07_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_bb1_in(X₆, X₇, X₄, X₅, X₄, X₅, X₆, X₇)
t₄: eval_non_linear07_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+2⋅X₁ ≤ X₃ ∧ X₂ ≤ X₃ ∧ X₅ ≤ X₃
t₅: eval_non_linear07_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ 0 ∧ X₅ ≤ X₃
t₂: eval_non_linear07_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₃ ≤ X₀+2⋅X₁ ∧ 1 ≤ X₃ ∧ X₅ ≤ X₃
t₃: eval_non_linear07_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ X₅ ≤ X₃
t₆: eval_non_linear07_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_bb1_in(2⋅X₀+2⋅(X₀)², 2⋅X₁-(X₀)², 3⋅X₂, 4⋅X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ X₅ ≤ X₃
t₀: eval_non_linear07_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_non_linear07_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)

Found invariant 3+X₅ ≤ X₃ ∧ 5+X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 5 ≤ X₃+X₅ ∧ 7 ≤ X₂+X₅ ∧ 4 ≤ X₃ ∧ 10 ≤ X₂+X₃ ∧ 6 ≤ X₂ for location eval_non_linear07_bb1_in_v2

Found invariant X₅ ≤ X₃ for location eval_non_linear07_stop

Found invariant X₅ ≤ X₃ for location eval_non_linear07_.critedge_in

Found invariant 3+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 5 ≤ X₃+X₅ ∧ 4 ≤ X₃ for location eval_non_linear07_bb1_in_v1

Found invariant 3+X₅ ≤ X₃ ∧ 5+X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 5 ≤ X₃+X₅ ∧ 7 ≤ X₂+X₅ ∧ 4 ≤ X₃ ∧ 10 ≤ X₂+X₃ ∧ 6 ≤ X₂ for location eval_non_linear07_bb2_in_v3

Found invariant X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₃ for location eval_non_linear07_bb2_in_v2

Found invariant X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₂+X₅ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ for location eval_non_linear07_bb2_in_v1

Found invariant X₇ ≤ X₁ ∧ X₁ ≤ X₇ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₅ ≤ X₃ ∧ X₃ ≤ X₅ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₄ for location eval_non_linear07_bb1_in

Found invariant 15+X₅ ≤ X₃ ∧ 17+X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 17 ≤ X₃+X₅ ∧ 19 ≤ X₂+X₅ ∧ 16 ≤ X₃ ∧ 34 ≤ X₂+X₃ ∧ 18 ≤ X₂ for location eval_non_linear07_bb1_in_v3

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