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_bb4_in, eval_foo_bb5_in, eval_foo_start, eval_foo_stop
Transitions:
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(0, X₁, X₂, X₃)
t₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(X₀, 0, X₂, X₃) :|: X₀ ≤ 99
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃) → eval_foo_bb5_in(X₀, X₁, X₂, X₃) :|: 100 ≤ X₀
t₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb3_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0
t₅: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb4_in(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁
t₆: eval_foo_bb3_in(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(X₀, X₁, X₂, X₃)
t₇: eval_foo_bb4_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(1+X₀, X₁, X₂, X₃)
t₈: eval_foo_bb5_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 1 ≤ 0 for location eval_foo_bb5_in

Found invariant X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb2_in

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb1_in

Found invariant 1 ≤ 0 for location eval_foo_stop

Found invariant X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb3_in

Found invariant 1 ≤ 0 for location eval_foo_bb4_in

Cut unsatisfiable transition [t₁₉: eval_foo_bb1_in→eval_foo_bb5_in; t₂₁: eval_foo_bb2_in→eval_foo_bb4_in; t₂₃: eval_foo_bb4_in→eval_foo_bb1_in; t₂₄: eval_foo_bb5_in→eval_foo_stop]

Cut unreachable locations [eval_foo_bb4_in; eval_foo_bb5_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_bb3_in, eval_foo_start
Transitions:
t₁₇: eval_foo_bb0_in(X₀, X₁) → eval_foo_bb1_in(0, X₁)
t₁₈: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb2_in(X₀, 0) :|: X₀ ≤ 99 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
t₂₀: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb3_in(X₀, X₁) :|: X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₁ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁
t₂₂: eval_foo_bb3_in(X₀, X₁) → eval_foo_bb2_in(X₀, X₁) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₁ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0
t₂₅: eval_foo_start(X₀, X₁) → eval_foo_bb0_in(X₀, X₁)

Found invariant X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb2_in

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb1_in

Found invariant X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb2_in_v1

Found invariant X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb3_in_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₇: 1 {O(1)}
t₁₈: 1 {O(1)}
t₂₀: inf {Infinity}
t₂₂: inf {Infinity}
t₂₅: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₁₇: 1 {O(1)}
t₁₈: 1 {O(1)}
t₂₀: inf {Infinity}
t₂₂: inf {Infinity}
t₂₅: 1 {O(1)}

Sizebounds

t₁₇, X₀: 0 {O(1)}
t₁₇, X₁: X₁ {O(n)}
t₁₈, X₀: 0 {O(1)}
t₁₈, X₁: 0 {O(1)}
t₂₀, X₀: 0 {O(1)}
t₂₀, X₁: 0 {O(1)}
t₂₂, X₀: 0 {O(1)}
t₂₂, X₁: 0 {O(1)}
t₂₅, X₀: X₀ {O(n)}
t₂₅, X₁: X₁ {O(n)}