Initial Problem

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_start, eval_foo_stop
Transitions:
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb1_in(13, 17, X₂, X₃, X₄, X₅)
t₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₀ ≤ X₁
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₁ ≤ X₀
t₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb1_in(2, 1+X₀, X₂, X₃, X₄, X₅) :|: 3 ≤ X₁
t₅: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb1_in(2, 1+X₀, X₂, X₃, X₄, X₅) :|: 2 ≤ X₀
t₆: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb1_in(X₁, 1+X₀, X₂, X₃, X₄, X₅) :|: X₁ ≤ 2 ∧ X₀ ≤ 1
t₇: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄, X₅)
t₀: eval_foo_start(X₀, X₁, X₂, X₃, X₄, X₅) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅)

Preprocessing

Eliminate variables [X₂; X₃; X₄; X₅] that do not contribute to the problem

Found invariant X₁ ≤ 17 ∧ X₁ ≤ 12+X₀ ∧ X₀+X₁ ≤ 30 ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 13 ∧ 2 ≤ X₀ for location eval_foo_bb2_in

Found invariant X₁ ≤ 17 ∧ X₁ ≤ 12+X₀ ∧ X₀+X₁ ≤ 30 ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 13 ∧ 2 ≤ X₀ for location eval_foo_bb1_in

Found invariant 1 ≤ 0 for location eval_foo_stop

Found invariant 1 ≤ 0 for location eval_foo_bb3_in

Cut unsatisfiable transition [t₁₇: eval_foo_bb1_in→eval_foo_bb3_in; t₂₀: eval_foo_bb2_in→eval_foo_bb1_in; t₂₁: eval_foo_bb3_in→eval_foo_stop]

Cut unreachable locations [eval_foo_bb3_in; eval_foo_stop] from the program graph

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_start
Transitions:
t₁₅: eval_foo_bb0_in(X₀, X₁) → eval_foo_bb1_in(13, 17)
t₁₆: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb2_in(X₀, X₁) :|: 1+X₀ ≤ X₁ ∧ X₀+X₁ ≤ 30 ∧ X₁ ≤ 17 ∧ X₀ ≤ 13 ∧ X₁ ≤ 12+X₀ ∧ 2 ≤ X₀ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁
t₁₈: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(2, 1+X₀) :|: 3 ≤ X₁ ∧ X₀+X₁ ≤ 30 ∧ X₁ ≤ 17 ∧ X₀ ≤ 13 ∧ X₁ ≤ 12+X₀ ∧ 1+X₀ ≤ X₁ ∧ 2 ≤ X₀ ∧ 5 ≤ X₀+X₁
t₁₉: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(2, 1+X₀) :|: 2 ≤ X₀ ∧ X₀+X₁ ≤ 30 ∧ X₁ ≤ 17 ∧ X₀ ≤ 13 ∧ X₁ ≤ 12+X₀ ∧ 1+X₀ ≤ X₁ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁
t₂₂: eval_foo_start(X₀, X₁) → eval_foo_bb0_in(X₀, X₁)

Found invariant X₁ ≤ 14 ∧ X₁ ≤ 12+X₀ ∧ X₀+X₁ ≤ 16 ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ for location eval_foo_bb2_in_v2

Found invariant X₁ ≤ 14 ∧ X₁ ≤ 12+X₀ ∧ X₀+X₁ ≤ 16 ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ for location eval_foo_bb1_in_v1

Found invariant X₁ ≤ 17 ∧ X₁ ≤ 4+X₀ ∧ X₀+X₁ ≤ 30 ∧ 17 ≤ X₁ ∧ 30 ≤ X₀+X₁ ∧ 4+X₀ ≤ X₁ ∧ X₀ ≤ 13 ∧ 13 ≤ X₀ for location eval_foo_bb1_in

Found invariant X₁ ≤ 17 ∧ X₁ ≤ 4+X₀ ∧ X₀+X₁ ≤ 30 ∧ 17 ≤ X₁ ∧ 30 ≤ X₀+X₁ ∧ 4+X₀ ≤ X₁ ∧ X₀ ≤ 13 ∧ 13 ≤ X₀ for location eval_foo_bb2_in_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: inf {Infinity}
t₁₈: inf {Infinity}
t₁₉: inf {Infinity}
t₂₂: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: inf {Infinity}
t₁₈: inf {Infinity}
t₁₉: inf {Infinity}
t₂₂: 1 {O(1)}

Sizebounds

t₁₅, X₀: 13 {O(1)}
t₁₅, X₁: 17 {O(1)}
t₁₆, X₀: 13 {O(1)}
t₁₆, X₁: 17 {O(1)}
t₁₈, X₀: 2 {O(1)}
t₁₈, X₁: 14 {O(1)}
t₁₉, X₀: 2 {O(1)}
t₁₉, X₁: 14 {O(1)}
t₂₂, X₀: X₀ {O(n)}
t₂₂, X₁: X₁ {O(n)}