Initial Problem

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:
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(1, 2, X₂, X₃)
t₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(X₀, X₁, X₂, X₃) :|: X₀+X₁ ≤ 4
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃) → eval_foo_bb3_in(X₀, X₁, X₂, X₃) :|: 5 ≤ X₀+X₁
t₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(X₁, X₀, X₂, X₃)
t₅: eval_foo_bb3_in(X₀, X₁, X₂, X₃) → eval_foo_stop(X₀, X₁, X₂, X₃)
t₀: eval_foo_start(X₀, X₁, X₂, X₃) → eval_foo_bb0_in(X₀, X₁, X₂, X₃)

Preprocessing

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

Found invariant X₁ ≤ 2 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 3 ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 2 ∧ 1 ≤ X₀ for location eval_foo_bb2_in

Found invariant X₁ ≤ 2 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 3 ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 2 ∧ 1 ≤ 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 [t₁₃: eval_foo_bb1_in→eval_foo_bb3_in; t₁₅: 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:
t₁₁: eval_foo_bb0_in(X₀, X₁) → eval_foo_bb1_in(1, 2)
t₁₂: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb2_in(X₀, X₁) :|: X₀+X₁ ≤ 4 ∧ X₀+X₁ ≤ 3 ∧ X₀ ≤ 2 ∧ X₁ ≤ 2 ∧ X₁ ≤ 1+X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁
t₁₄: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₁, X₀) :|: X₀+X₁ ≤ 3 ∧ X₀ ≤ 2 ∧ X₁ ≤ 2 ∧ X₁ ≤ 1+X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁
t₁₆: eval_foo_start(X₀, X₁) → eval_foo_bb0_in(X₀, X₁)

Found invariant X₁ ≤ 2 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 3 ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 2 ∧ 1 ≤ X₀ for location eval_foo_bb1_in_v1

Found invariant X₁ ≤ 2 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 3 ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location eval_foo_bb1_in

Found invariant X₁ ≤ 2 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 3 ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 2 ∧ 1 ≤ X₀ for location eval_foo_bb2_in_v1

All Bounds

Timebounds

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

Costbounds

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

Sizebounds

t₁₁, X₀: 1 {O(1)}
t₁₁, X₁: 2 {O(1)}
t₁₂, X₀: 2 {O(1)}
t₁₂, X₁: 2 {O(1)}
t₁₄, X₀: 2 {O(1)}
t₁₄, X₁: 2 {O(1)}
t₁₆, X₀: X₀ {O(n)}
t₁₆, X₁: X₁ {O(n)}