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(X₂, 0, X₂, X₃)
t₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(X₀, X₁, X₂, X₃) :|: X₀ ≤ 10 ∧ 0 ≤ X₀
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃) → eval_foo_bb3_in(X₀, X₁, X₂, X₃) :|: 1+X₀ ≤ 0
t₄: eval_foo_bb1_in(X₀, X₁, X₂, X₃) → eval_foo_bb3_in(X₀, X₁, X₂, X₃) :|: 11 ≤ X₀
t₅: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(1+X₀, 1, X₂, X₃) :|: 10 ≤ X₀ ∧ X₀ ≤ 0
t₆: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(X₀-1, 0, X₂, X₃) :|: 1 ≤ X₀ ∧ 10 ≤ X₀
t₇: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(1+X₀, 1, X₂, X₃) :|: X₀ ≤ 9 ∧ X₀ ≤ 0
t₈: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ 9 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁
t₉: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(X₀-1, X₁, X₂, X₃) :|: X₀ ≤ 9 ∧ 1 ≤ X₀ ∧ X₁ ≤ 0
t₁₀: 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

Cut unsatisfiable transition [t₅: eval_foo_bb2_in→eval_foo_bb1_in]

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

Found invariant 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 10+X₁ ∧ X₀ ≤ 10 ∧ 0 ≤ X₀ for location eval_foo_bb2_in

Found invariant 0 ≤ X₁ for location eval_foo_bb1_in

Found invariant 0 ≤ X₁ for location eval_foo_stop

Found invariant 0 ≤ X₁ for location eval_foo_bb3_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂
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:
t₂₆: eval_foo_bb0_in(X₀, X₁, X₂) → eval_foo_bb1_in(X₂, 0, X₂)
t₂₇: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb2_in(X₀, X₁, X₂) :|: X₀ ≤ 10 ∧ 0 ≤ X₀ ∧ 0 ≤ X₁
t₂₈: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb3_in(X₀, X₁, X₂) :|: 1+X₀ ≤ 0 ∧ 0 ≤ X₁
t₂₉: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb3_in(X₀, X₁, X₂) :|: 11 ≤ X₀ ∧ 0 ≤ X₁
t₃₀: eval_foo_bb2_in(X₀, X₁, X₂) → eval_foo_bb1_in(X₀-1, 0, X₂) :|: 1 ≤ X₀ ∧ 10 ≤ X₀ ∧ X₀ ≤ 10 ∧ X₀ ≤ 10+X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₁
t₃₁: eval_foo_bb2_in(X₀, X₁, X₂) → eval_foo_bb1_in(1+X₀, 1, X₂) :|: X₀ ≤ 9 ∧ X₀ ≤ 0 ∧ X₀ ≤ 10 ∧ X₀ ≤ 10+X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₁
t₃₂: eval_foo_bb2_in(X₀, X₁, X₂) → eval_foo_bb1_in(1+X₀, X₁, X₂) :|: X₀ ≤ 9 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ 10 ∧ X₀ ≤ 10+X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₁
t₃₃: eval_foo_bb2_in(X₀, X₁, X₂) → eval_foo_bb1_in(X₀-1, X₁, X₂) :|: X₀ ≤ 9 ∧ 1 ≤ X₀ ∧ X₁ ≤ 0 ∧ X₀ ≤ 10 ∧ X₀ ≤ 10+X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₁
t₃₄: eval_foo_bb3_in(X₀, X₁, X₂) → eval_foo_stop(X₀, X₁, X₂) :|: 0 ≤ X₁
t₃₅: eval_foo_start(X₀, X₁, X₂) → eval_foo_bb0_in(X₀, X₁, X₂)

Found invariant 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ 6+X₂ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 8+X₁ ∧ X₀ ≤ 8 ∧ 0 ≤ X₀ for location eval_foo_bb1_in_v1

Found invariant 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location eval_foo_bb1_in_v3

Found invariant 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location eval_foo_bb2_in_v5

Found invariant 1 ≤ 0 for location eval_foo_bb1_in_v2

Found invariant 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ 1 ∧ 2+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 1 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 3 ∧ 3 ≤ X₀ for location eval_foo_bb2_in_v7

Found invariant X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ for location eval_foo_stop

Found invariant 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ for location eval_foo_bb1_in_v7

Found invariant 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 9 ≤ X₀+X₂ ∧ X₀ ≤ 9+X₂ ∧ X₁ ≤ 0 ∧ 9+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 9 ∧ 0 ≤ X₁ ∧ 9 ≤ X₀+X₁ ∧ X₀ ≤ 9+X₁ ∧ X₀ ≤ 9 ∧ 9 ≤ X₀ for location eval_foo_bb2_in_v2

Found invariant 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 9 ≤ X₀+X₂ ∧ X₀ ≤ 9+X₂ ∧ X₁ ≤ 0 ∧ 9+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 9 ∧ 0 ≤ X₁ ∧ 9 ≤ X₀+X₁ ∧ X₀ ≤ 9+X₁ ∧ X₀ ≤ 9 ∧ 9 ≤ X₀ for location eval_foo_bb1_in_v4

Found invariant X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ for location eval_foo_bb1_in

Found invariant X₂ ≤ 10 ∧ X₂ ≤ 10+X₁ ∧ X₁+X₂ ≤ 10 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 20 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 10 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 10+X₁ ∧ X₀ ≤ 10 ∧ 0 ≤ X₀ for location eval_foo_bb2_in_v1

Found invariant 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 8 ≤ X₀+X₂ ∧ X₀ ≤ 8+X₂ ∧ X₁ ≤ 0 ∧ 8+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ 0 ≤ X₁ ∧ 8 ≤ X₀+X₁ ∧ X₀ ≤ 8+X₁ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀ for location eval_foo_bb2_in_v3

Found invariant 1 ≤ 0 for location eval_foo_bb2_in_v9

Found invariant 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 8 ≤ X₀+X₂ ∧ X₀ ≤ 8+X₂ ∧ X₁ ≤ 0 ∧ 8+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ 0 ≤ X₁ ∧ 8 ≤ X₀+X₁ ∧ X₀ ≤ 8+X₁ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀ for location eval_foo_bb1_in_v5

Found invariant X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ for location eval_foo_bb3_in

Found invariant 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 7 ≤ X₀+X₂ ∧ X₀ ≤ 7+X₂ ∧ X₁ ≤ 0 ∧ 7+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 7 ∧ 0 ≤ X₁ ∧ 7 ≤ X₀+X₁ ∧ X₀ ≤ 7+X₁ ∧ X₀ ≤ 7 ∧ 7 ≤ X₀ for location eval_foo_bb2_in_v4

Found invariant 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 4 ≤ X₀+X₂ ∧ X₀ ≤ 10+X₂ ∧ X₁ ≤ 1 ∧ 3+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 11 ∧ 1 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ 9+X₁ ∧ X₀ ≤ 10 ∧ 4 ≤ X₀ for location eval_foo_bb2_in_v8

Found invariant 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 4 ≤ X₀+X₂ ∧ X₀ ≤ 10+X₂ ∧ X₁ ≤ 1 ∧ 3+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 11 ∧ 1 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ 9+X₁ ∧ X₀ ≤ 10 ∧ 4 ≤ X₀ for location eval_foo_bb1_in_v9

Found invariant 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ 6+X₂ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 8+X₁ ∧ X₀ ≤ 8 ∧ 0 ≤ X₀ for location eval_foo_bb2_in_v10

Found invariant 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 7 ≤ X₀+X₂ ∧ X₀ ≤ 7+X₂ ∧ X₁ ≤ 0 ∧ 7+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 7 ∧ 0 ≤ X₁ ∧ 7 ≤ X₀+X₁ ∧ X₀ ≤ 7+X₁ ∧ X₀ ≤ 7 ∧ 7 ≤ X₀ for location eval_foo_bb1_in_v6

Found invariant 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ 1 ∧ 2+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 1 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 3 ∧ 3 ≤ X₀ for location eval_foo_bb1_in_v8

Found invariant 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ for location eval_foo_bb2_in_v6

Cut unsatisfiable transition [t₇₇: eval_foo_bb2_in_v1→eval_foo_bb1_in_v2; t₉₅: eval_foo_bb1_in_v2→eval_foo_bb2_in_v9; t₉₆: eval_foo_bb2_in_v9→eval_foo_bb1_in_v2; t₉₇: eval_foo_bb2_in_v9→eval_foo_bb1_in_v4]

Cut unreachable locations [eval_foo_bb1_in_v2; eval_foo_bb2_in_v9] from the program graph

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₂₆: 1 {O(1)}
t₂₇: inf {Infinity}
t₂₈: 1 {O(1)}
t₂₉: 1 {O(1)}
t₃₀: inf {Infinity}
t₃₁: inf {Infinity}
t₃₂: inf {Infinity}
t₃₃: inf {Infinity}
t₃₄: 1 {O(1)}
t₃₅: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₂₆: 1 {O(1)}
t₂₇: inf {Infinity}
t₂₈: 1 {O(1)}
t₂₉: 1 {O(1)}
t₃₀: inf {Infinity}
t₃₁: inf {Infinity}
t₃₂: inf {Infinity}
t₃₃: inf {Infinity}
t₃₄: 1 {O(1)}
t₃₅: 1 {O(1)}

Sizebounds

t₂₆, X₀: X₂ {O(n)}
t₂₆, X₁: 0 {O(1)}
t₂₆, X₂: X₂ {O(n)}
t₂₇, X₀: 10 {O(1)}
t₂₇, X₁: 1 {O(1)}
t₂₇, X₂: X₂ {O(n)}
t₂₈, X₀: X₂ {O(n)}
t₂₈, X₁: 0 {O(1)}
t₂₈, X₂: X₂ {O(n)}
t₂₉, X₀: X₂ {O(n)}
t₂₉, X₁: 0 {O(1)}
t₂₉, X₂: X₂ {O(n)}
t₃₀, X₀: 9 {O(1)}
t₃₀, X₁: 0 {O(1)}
t₃₀, X₂: X₂ {O(n)}
t₃₁, X₀: 1 {O(1)}
t₃₁, X₁: 1 {O(1)}
t₃₁, X₂: X₂ {O(n)}
t₃₂, X₀: 10 {O(1)}
t₃₂, X₁: 1 {O(1)}
t₃₂, X₂: X₂ {O(n)}
t₃₃, X₀: 8 {O(1)}
t₃₃, X₁: 0 {O(1)}
t₃₃, X₂: X₂ {O(n)}
t₃₄, X₀: 2⋅X₂ {O(n)}
t₃₄, X₁: 0 {O(1)}
t₃₄, X₂: 2⋅X₂ {O(n)}
t₃₅, X₀: X₀ {O(n)}
t₃₅, X₁: X₁ {O(n)}
t₃₅, X₂: X₂ {O(n)}