Initial Problem

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, eval_foo_stop
Transitions:
t₁: eval_foo_bb0_in(X₀, X₁) → eval_foo_bb1_in(X₁, X₁)
t₂: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb2_in(X₀, X₁) :|: 11 ≤ X₀
t₃: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb3_in(X₀, X₁) :|: X₀ ≤ 10
t₄: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(29, X₁) :|: X₀ ≤ 25 ∧ 25 ≤ X₀
t₅: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀-1, X₁) :|: X₀ ≤ 30 ∧ X₀ ≤ 24
t₆: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀-1, X₁) :|: X₀ ≤ 30 ∧ 26 ≤ X₀
t₇: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(20, X₁) :|: X₀ ≤ 24 ∧ 31 ≤ X₀
t₈: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(20, X₁) :|: 26 ≤ X₀ ∧ 31 ≤ X₀
t₉: eval_foo_bb3_in(X₀, X₁) → eval_foo_stop(X₀, X₁)
t₀: eval_foo_start(X₀, X₁) → eval_foo_bb0_in(X₀, X₁)

Preprocessing

Cut unsatisfiable transition [t₇: eval_foo_bb2_in→eval_foo_bb1_in]

Found invariant 11 ≤ X₀ for location eval_foo_bb2_in

Found invariant X₀ ≤ 10 for location eval_foo_stop

Found invariant X₀ ≤ 10 for location eval_foo_bb3_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_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
t₁: eval_foo_bb0_in(X₀, X₁) → eval_foo_bb1_in(X₁, X₁)
t₂: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb2_in(X₀, X₁) :|: 11 ≤ X₀
t₃: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb3_in(X₀, X₁) :|: X₀ ≤ 10
t₄: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(29, X₁) :|: X₀ ≤ 25 ∧ 25 ≤ X₀ ∧ 11 ≤ X₀
t₅: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀-1, X₁) :|: X₀ ≤ 30 ∧ X₀ ≤ 24 ∧ 11 ≤ X₀
t₆: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀-1, X₁) :|: X₀ ≤ 30 ∧ 26 ≤ X₀ ∧ 11 ≤ X₀
t₈: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(20, X₁) :|: 26 ≤ X₀ ∧ 31 ≤ X₀ ∧ 11 ≤ X₀
t₉: eval_foo_bb3_in(X₀, X₁) → eval_foo_stop(X₀, X₁) :|: X₀ ≤ 10
t₀: eval_foo_start(X₀, X₁) → eval_foo_bb0_in(X₀, X₁)

Found invariant 31 ≤ X₁ ∧ 51 ≤ X₀+X₁ ∧ 11+X₀ ≤ X₁ ∧ X₀ ≤ 20 ∧ 20 ≤ X₀ for location eval_foo_bb1_in_v1

Found invariant X₁ ≤ 24 ∧ X₁ ≤ 14+X₀ ∧ X₀+X₁ ≤ 47 ∧ 11 ≤ X₁ ∧ 21 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 23 ∧ 10 ≤ X₀ for location eval_foo_bb1_in_v3

Found invariant X₁ ≤ 24 ∧ X₁ ≤ 13+X₀ ∧ X₀+X₁ ≤ 47 ∧ 12 ≤ X₁ ∧ 23 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 23 ∧ 11 ≤ X₀ for location eval_foo_bb2_in_v5

Found invariant X₁ ≤ 30 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 59 ∧ 26 ≤ X₁ ∧ 51 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 29 ∧ 25 ≤ X₀ for location eval_foo_bb1_in_v2

Found invariant 31 ≤ X₁ ∧ 51 ≤ X₀+X₁ ∧ 11+X₀ ≤ X₁ ∧ X₀ ≤ 20 ∧ 20 ≤ X₀ for location eval_foo_bb2_in_v7

Found invariant X₀ ≤ X₁ ∧ X₀ ≤ 10 for location eval_foo_stop

Found invariant 31 ≤ X₁ ∧ 50 ≤ X₀+X₁ ∧ 12+X₀ ≤ X₁ ∧ X₀ ≤ 19 ∧ 19 ≤ X₀ for location eval_foo_bb1_in_v7

Found invariant X₁ ≤ 30 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 59 ∧ 25 ≤ X₁ ∧ 54 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 29 ∧ 29 ≤ X₀ for location eval_foo_bb2_in_v2

Found invariant X₁ ≤ 30 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 59 ∧ 25 ≤ X₁ ∧ 54 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 29 ∧ 29 ≤ X₀ for location eval_foo_bb1_in_v4

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

Found invariant X₁ ≤ X₀ ∧ 11 ≤ X₁ ∧ 22 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 11 ≤ X₀ for location eval_foo_bb2_in_v1

Found invariant X₁ ≤ 30 ∧ X₁ ≤ 2+X₀ ∧ X₀+X₁ ≤ 58 ∧ 25 ≤ X₁ ∧ 53 ≤ X₀+X₁ ∧ X₀ ≤ 3+X₁ ∧ X₀ ≤ 28 ∧ 28 ≤ X₀ for location eval_foo_bb2_in_v3

Found invariant X₁ ≤ 30 ∧ X₁ ≤ 2+X₀ ∧ X₀+X₁ ≤ 58 ∧ 25 ≤ X₁ ∧ 53 ≤ X₀+X₁ ∧ X₀ ≤ 3+X₁ ∧ X₀ ≤ 28 ∧ 28 ≤ X₀ for location eval_foo_bb1_in_v5

Found invariant X₀ ≤ X₁ ∧ X₀ ≤ 10 for location eval_foo_bb3_in

Found invariant X₁ ≤ 30 ∧ X₁ ≤ 5+X₀ ∧ X₀+X₁ ≤ 58 ∧ 25 ≤ X₁ ∧ 50 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 28 ∧ 25 ≤ X₀ for location eval_foo_bb2_in_v4

Found invariant 31 ≤ X₁ ∧ 42 ≤ X₀+X₁ ∧ 12+X₀ ≤ X₁ ∧ X₀ ≤ 19 ∧ 11 ≤ X₀ for location eval_foo_bb2_in_v8

Found invariant X₁ ≤ 30 ∧ X₁ ≤ 5+X₀ ∧ X₀+X₁ ≤ 58 ∧ 25 ≤ X₁ ∧ 50 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 28 ∧ 25 ≤ X₀ for location eval_foo_bb1_in_v6

Found invariant 31 ≤ X₁ ∧ 41 ≤ X₀+X₁ ∧ 13+X₀ ≤ X₁ ∧ X₀ ≤ 18 ∧ 10 ≤ X₀ for location eval_foo_bb1_in_v8

Found invariant X₁ ≤ 30 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 59 ∧ 26 ≤ X₁ ∧ 51 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 29 ∧ 25 ≤ X₀ for location eval_foo_bb2_in_v6

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: inf {Infinity}
t₅: inf {Infinity}
t₆: inf {Infinity}
t₈: inf {Infinity}
t₉: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: inf {Infinity}
t₅: inf {Infinity}
t₆: inf {Infinity}
t₈: inf {Infinity}
t₉: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₁, X₀: X₁ {O(n)}
t₁, X₁: X₁ {O(n)}
t₂, X₀: X₁+101 {O(n)}
t₂, X₁: X₁ {O(n)}
t₃, X₀: X₁+23 {O(n)}
t₃, X₁: 2⋅X₁ {O(n)}
t₄, X₀: 29 {O(1)}
t₄, X₁: X₁ {O(n)}
t₅, X₀: 23 {O(1)}
t₅, X₁: X₁ {O(n)}
t₆, X₀: 29 {O(1)}
t₆, X₁: X₁ {O(n)}
t₈, X₀: 20 {O(1)}
t₈, X₁: X₁ {O(n)}
t₉, X₀: X₁+23 {O(n)}
t₉, X₁: 2⋅X₁ {O(n)}