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_start, eval_foo_stop
Transitions:
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(13, 17, X₂, X₃, X₄)
t₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(X₁, X₀, X₂, X₃, X₄) :|: X₀+X₁ ≤ 99
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 100 ≤ X₀+X₁
t₄: eval_foo_bb2_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

Cut unsatisfiable transition [t₃: eval_foo_bb1_in→eval_foo_bb2_in]

Cut unreachable locations [eval_foo_bb2_in; eval_foo_stop] from the program graph

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

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

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_start
Transitions:
t₁₁: eval_foo_bb0_in(X₀, X₁) → eval_foo_bb1_in(13, 17)
t₁₂: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb1_in(X₁, X₀) :|: X₀+X₁ ≤ 99 ∧ X₀+X₁ ≤ 30 ∧ X₀ ≤ 17 ∧ X₁ ≤ 17 ∧ X₁ ≤ 4+X₀ ∧ X₀ ≤ 4+X₁ ∧ 13 ≤ X₀ ∧ 13 ≤ X₁ ∧ 30 ≤ X₀+X₁
t₁₃: eval_foo_start(X₀, X₁) → eval_foo_bb0_in(X₀, X₁)

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 ∧ 13 ≤ X₁ ∧ 30 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 17 ∧ 13 ≤ X₀ for location eval_foo_bb1_in_v1

All Bounds

Timebounds

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

Costbounds

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

Sizebounds

t₁₁, X₀: 13 {O(1)}
t₁₁, X₁: 17 {O(1)}
t₁₂, X₀: 17 {O(1)}
t₁₂, X₁: 17 {O(1)}
t₁₃, X₀: X₀ {O(n)}
t₁₃, X₁: X₁ {O(n)}