Initial Problem

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(X₂, X₃, X₂, X₃, X₄)
t₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 7 ≤ X₀
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 6
t₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(X₁, 1+X₀, X₂, X₃, X₄)
t₅: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄)
t₀: eval_foo_start(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄)

Preprocessing

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

Found invariant 7 ≤ X₀ for location eval_foo_bb2_in

Found invariant X₀ ≤ 6 for location eval_foo_stop

Found invariant X₀ ≤ 6 for location eval_foo_bb3_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
t₁₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(X₂, X₃, X₂, X₃)
t₁₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(X₀, X₁, X₂, X₃) :|: 7 ≤ X₀
t₁₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃) → eval_foo_bb3_in(X₀, X₁, X₂, X₃) :|: X₀ ≤ 6
t₁₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(X₁, 1+X₀, X₂, X₃) :|: 7 ≤ X₀
t₁₅: eval_foo_bb3_in(X₀, X₁, X₂, X₃) → eval_foo_stop(X₀, X₁, X₂, X₃) :|: X₀ ≤ 6
t₁₆: eval_foo_start(X₀, X₁, X₂, X₃) → eval_foo_bb0_in(X₀, X₁, X₂, X₃)

Found invariant X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ 7 ≤ X₂ ∧ 15 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 8 ≤ X₁ for location eval_foo_bb1_in_v1

Found invariant 7 ≤ X₃ ∧ 14 ≤ X₂+X₃ ∧ 15 ≤ X₁+X₃ ∧ 15 ≤ X₀+X₃ ∧ 7 ≤ X₂ ∧ 15 ≤ X₁+X₂ ∧ 15 ≤ X₀+X₂ ∧ 8 ≤ X₁ ∧ 16 ≤ X₀+X₁ ∧ 8 ≤ X₀ for location eval_foo_bb1_in_v2

Found invariant X₃ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 6 for location eval_foo_stop

Found invariant X₃ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 6 for location eval_foo_bb3_in

Found invariant 7 ≤ X₃ ∧ 14 ≤ X₂+X₃ ∧ 15 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₃ ∧ 7 ≤ X₂ ∧ 15 ≤ X₁+X₂ ∧ 14 ≤ X₀+X₂ ∧ 8 ≤ X₁ ∧ 15 ≤ X₀+X₁ ∧ 7 ≤ X₀ for location eval_foo_bb2_in_v2

Found invariant X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ for location eval_foo_bb1_in

Found invariant X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 7 ≤ X₂ ∧ 14 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 7 ≤ X₀ for location eval_foo_bb2_in_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₁: 1 {O(1)}
t₁₂: inf {Infinity}
t₁₃: 1 {O(1)}
t₁₄: inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₁₁: 1 {O(1)}
t₁₂: inf {Infinity}
t₁₃: 1 {O(1)}
t₁₄: inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}

Sizebounds

t₁₁, X₀: X₂ {O(n)}
t₁₁, X₁: X₃ {O(n)}
t₁₁, X₂: X₂ {O(n)}
t₁₁, X₃: X₃ {O(n)}
t₁₂, X₂: X₂ {O(n)}
t₁₂, X₃: X₃ {O(n)}
t₁₃, X₂: 2⋅X₂ {O(n)}
t₁₃, X₃: 2⋅X₃ {O(n)}
t₁₄, X₂: X₂ {O(n)}
t₁₄, X₃: X₃ {O(n)}
t₁₅, X₂: 2⋅X₂ {O(n)}
t₁₅, X₃: 2⋅X₃ {O(n)}
t₁₆, X₀: X₀ {O(n)}
t₁₆, X₁: X₁ {O(n)}
t₁₆, X₂: X₂ {O(n)}
t₁₆, X₃: X₃ {O(n)}