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) :|: X₀ ≤ 49 ∧ 1 ≤ X₀
t₃: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb3_in(X₀, X₁) :|: X₀ ≤ 0
t₄: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb3_in(X₀, X₁) :|: 50 ≤ X₀
t₅: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀-1, X₁) :|: X₀ ≤ 40 ∧ X₀ ≤ 19 ∧ 12 ≤ X₀ ∧ 30 ≤ X₀
t₆: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀, X₁) :|: X₀ ≤ 29 ∧ X₀ ≤ 19 ∧ 12 ≤ X₀
t₇: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀, X₁) :|: X₀ ≤ 19 ∧ 12 ≤ X₀ ∧ 41 ≤ X₀
t₈: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀-2, X₁) :|: X₀ ≤ 41 ∧ X₀ ≤ 19 ∧ X₀ ≤ 11 ∧ 31 ≤ X₀
t₉: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀-1, X₁) :|: X₀ ≤ 30 ∧ X₀ ≤ 19 ∧ X₀ ≤ 11
t₁₀: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀-1, X₁) :|: X₀ ≤ 19 ∧ X₀ ≤ 11 ∧ 42 ≤ X₀
t₁₁: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀, X₁) :|: X₀ ≤ 39 ∧ 11 ≤ X₀ ∧ 20 ≤ X₀ ∧ 29 ≤ X₀
t₁₂: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(1+X₀, X₁) :|: X₀ ≤ 28 ∧ 11 ≤ X₀ ∧ 20 ≤ X₀
t₁₃: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(1+X₀, X₁) :|: 11 ≤ X₀ ∧ 20 ≤ X₀ ∧ 40 ≤ X₀
t₁₄: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀-1, X₁) :|: X₀ ≤ 40 ∧ X₀ ≤ 10 ∧ 20 ≤ X₀ ∧ 30 ≤ X₀
t₁₅: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀, X₁) :|: X₀ ≤ 29 ∧ X₀ ≤ 10 ∧ 20 ≤ X₀
t₁₆: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀, X₁) :|: X₀ ≤ 10 ∧ 20 ≤ X₀ ∧ 41 ≤ X₀
t₁₇: 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 [t₅: eval_foo_bb2_in→eval_foo_bb1_in; t₇: eval_foo_bb2_in→eval_foo_bb1_in; t₈: eval_foo_bb2_in→eval_foo_bb1_in; t₁₀: eval_foo_bb2_in→eval_foo_bb1_in; t₁₄: eval_foo_bb2_in→eval_foo_bb1_in; t₁₅: eval_foo_bb2_in→eval_foo_bb1_in; t₁₆: eval_foo_bb2_in→eval_foo_bb1_in]

Found invariant X₀ ≤ 49 ∧ 1 ≤ X₀ for location eval_foo_bb2_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) :|: X₀ ≤ 49 ∧ 1 ≤ X₀
t₃: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb3_in(X₀, X₁) :|: X₀ ≤ 0
t₄: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb3_in(X₀, X₁) :|: 50 ≤ X₀
t₆: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀, X₁) :|: X₀ ≤ 29 ∧ X₀ ≤ 19 ∧ 12 ≤ X₀ ∧ X₀ ≤ 49 ∧ 1 ≤ X₀
t₉: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀-1, X₁) :|: X₀ ≤ 30 ∧ X₀ ≤ 19 ∧ X₀ ≤ 11 ∧ X₀ ≤ 49 ∧ 1 ≤ X₀
t₁₁: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀, X₁) :|: X₀ ≤ 39 ∧ 11 ≤ X₀ ∧ 20 ≤ X₀ ∧ 29 ≤ X₀ ∧ X₀ ≤ 49 ∧ 1 ≤ X₀
t₁₂: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(1+X₀, X₁) :|: X₀ ≤ 28 ∧ 11 ≤ X₀ ∧ 20 ≤ X₀ ∧ X₀ ≤ 49 ∧ 1 ≤ X₀
t₁₃: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(1+X₀, X₁) :|: 11 ≤ X₀ ∧ 20 ≤ X₀ ∧ 40 ≤ X₀ ∧ X₀ ≤ 49 ∧ 1 ≤ X₀
t₁₇: eval_foo_bb3_in(X₀, X₁) → eval_foo_stop(X₀, X₁)
t₀: eval_foo_start(X₀, X₁) → eval_foo_bb0_in(X₀, X₁)

Found invariant X₁ ≤ 49 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 99 ∧ 40 ≤ X₁ ∧ 81 ≤ X₀+X₁ ∧ X₀ ≤ 10+X₁ ∧ X₀ ≤ 50 ∧ 41 ≤ X₀ for location eval_foo_bb1_in_v1

Found invariant X₁ ≤ 39 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 78 ∧ 29 ≤ X₁ ∧ 58 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 39 ∧ 29 ≤ X₀ for location eval_foo_bb1_in_v3

Found invariant X₁ ≤ 28 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 57 ∧ 20 ≤ X₁ ∧ 41 ≤ X₀+X₁ ∧ X₀ ≤ 9+X₁ ∧ X₀ ≤ 29 ∧ 21 ≤ X₀ for location eval_foo_bb2_in_v5

Found invariant X₁ ≤ 28 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 57 ∧ 20 ≤ X₁ ∧ 41 ≤ X₀+X₁ ∧ X₀ ≤ 9+X₁ ∧ X₀ ≤ 29 ∧ 21 ≤ X₀ for location eval_foo_bb1_in_v2

Found invariant X₁ ≤ 48 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 97 ∧ 40 ≤ X₁ ∧ 81 ≤ X₀+X₁ ∧ X₀ ≤ 9+X₁ ∧ X₀ ≤ 49 ∧ 41 ≤ X₀ for location eval_foo_bb2_in_v7

Found invariant X₁ ≤ 11+X₀ ∧ X₀ ≤ 10+X₁ for location eval_foo_stop

Found invariant X₁ ≤ 19 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 38 ∧ 12 ≤ X₁ ∧ 24 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 19 ∧ 12 ≤ X₀ for location eval_foo_bb2_in_v2

Found invariant X₁ ≤ 11 ∧ X₁ ≤ 11+X₀ ∧ X₀+X₁ ≤ 21 ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 10 ∧ 0 ≤ X₀ for location eval_foo_bb1_in_v4

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

Found invariant X₁ ≤ 49 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 98 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 49 ∧ 1 ≤ X₀ for location eval_foo_bb2_in_v1

Found invariant X₁ ≤ 11 ∧ X₁ ≤ 10+X₀ ∧ X₀+X₁ ≤ 21 ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 10 ∧ 1 ≤ X₀ for location eval_foo_bb2_in_v3

Found invariant X₁ ≤ 19 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 38 ∧ 12 ≤ X₁ ∧ 24 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 19 ∧ 12 ≤ X₀ for location eval_foo_bb1_in_v5

Found invariant X₁ ≤ 11+X₀ ∧ X₀ ≤ 10+X₁ for location eval_foo_bb3_in

Found invariant X₁ ≤ 39 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 78 ∧ 29 ≤ X₁ ∧ 58 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 39 ∧ 29 ≤ X₀ for location eval_foo_bb2_in_v4

Found invariant X₁ ≤ 28 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 57 ∧ 20 ≤ X₁ ∧ 49 ≤ X₀+X₁ ∧ X₀ ≤ 9+X₁ ∧ X₀ ≤ 29 ∧ 29 ≤ X₀ for location eval_foo_bb1_in_v6

Found invariant X₁ ≤ 28 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 57 ∧ 20 ≤ X₁ ∧ 49 ≤ X₀+X₁ ∧ X₀ ≤ 9+X₁ ∧ X₀ ≤ 29 ∧ 29 ≤ 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: 1 {O(1)}
t₆: inf {Infinity}
t₉: inf {Infinity}
t₁₁: inf {Infinity}
t₁₂: inf {Infinity}
t₁₃: inf {Infinity}
t₁₇: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₆: inf {Infinity}
t₉: inf {Infinity}
t₁₁: inf {Infinity}
t₁₂: inf {Infinity}
t₁₃: inf {Infinity}
t₁₇: 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: 49 {O(1)}
t₂, X₁: X₁ {O(n)}
t₃, X₀: X₁+10 {O(n)}
t₃, X₁: 2⋅X₁ {O(n)}
t₄, X₀: X₁+50 {O(n)}
t₄, X₁: 2⋅X₁ {O(n)}
t₆, X₀: 19 {O(1)}
t₆, X₁: X₁ {O(n)}
t₉, X₀: 10 {O(1)}
t₉, X₁: X₁ {O(n)}
t₁₁, X₀: 39 {O(1)}
t₁₁, X₁: X₁ {O(n)}
t₁₂, X₀: 29 {O(1)}
t₁₂, X₁: X₁ {O(n)}
t₁₃, X₀: 50 {O(1)}
t₁₃, X₁: X₁ {O(n)}
t₁₇, X₀: 2⋅X₁+60 {O(n)}
t₁₇, X₁: 4⋅X₁ {O(n)}