Initial Problem

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_bb4_in, eval_foo_bb5_in, eval_foo_bb6_in, eval_foo_start, eval_foo_stop
Transitions:
t₁: eval_foo_bb0_in(X₀, X₁, X₂) → eval_foo_bb1_in(X₁, X₁, X₂)
t₂: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb2_in(X₀, X₁, X₂) :|: 1+X₀ ≤ 0
t₃: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb2_in(X₀, X₁, X₂) :|: 1 ≤ X₀
t₄: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb6_in(X₀, X₁, X₂) :|: 0 ≤ X₀ ∧ X₀ ≤ 0
t₅: eval_foo_bb2_in(X₀, X₁, X₂) → eval_foo_bb3_in(X₀, X₁, X₂) :|: 6+X₀ ≤ 0
t₆: eval_foo_bb2_in(X₀, X₁, X₂) → eval_foo_bb4_in(X₀, X₁, X₂) :|: 0 ≤ 5+X₀
t₇: eval_foo_bb3_in(X₀, X₁, X₂) → eval_foo_bb1_in(1-X₀, X₁, X₂)
t₉: eval_foo_bb4_in(X₀, X₁, X₂) → eval_foo_bb1_in(0, X₁, X₂) :|: X₀ ≤ 5
t₈: eval_foo_bb4_in(X₀, X₁, X₂) → eval_foo_bb5_in(X₀, X₁, X₂) :|: 6 ≤ X₀
t₁₀: eval_foo_bb5_in(X₀, X₁, X₂) → eval_foo_bb1_in(-1-X₀, X₁, X₂)
t₁₁: eval_foo_bb6_in(X₀, X₁, X₂) → eval_foo_stop(X₀, X₁, X₂)
t₀: eval_foo_start(X₀, X₁, X₂) → eval_foo_bb0_in(X₀, X₁, X₂)

Preprocessing

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

Found invariant 6 ≤ X₀ for location eval_foo_bb5_in

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

Found invariant 6+X₀ ≤ 0 for location eval_foo_bb3_in

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb6_in

Found invariant 0 ≤ 5+X₀ for location eval_foo_bb4_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_bb4_in, eval_foo_bb5_in, eval_foo_bb6_in, eval_foo_start, eval_foo_stop
Transitions:
t₂₄: eval_foo_bb0_in(X₀, X₁) → eval_foo_bb1_in(X₁, X₁)
t₂₅: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb2_in(X₀, X₁) :|: 1+X₀ ≤ 0
t₂₆: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb2_in(X₀, X₁) :|: 1 ≤ X₀
t₂₇: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb6_in(X₀, X₁) :|: 0 ≤ X₀ ∧ X₀ ≤ 0
t₂₈: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb3_in(X₀, X₁) :|: 6+X₀ ≤ 0
t₂₉: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb4_in(X₀, X₁) :|: 0 ≤ 5+X₀
t₃₀: eval_foo_bb3_in(X₀, X₁) → eval_foo_bb1_in(1-X₀, X₁) :|: 6+X₀ ≤ 0
t₃₁: eval_foo_bb4_in(X₀, X₁) → eval_foo_bb1_in(0, X₁) :|: X₀ ≤ 5 ∧ 0 ≤ 5+X₀
t₃₂: eval_foo_bb4_in(X₀, X₁) → eval_foo_bb5_in(X₀, X₁) :|: 6 ≤ X₀ ∧ 0 ≤ 5+X₀
t₃₃: eval_foo_bb5_in(X₀, X₁) → eval_foo_bb1_in(-1-X₀, X₁) :|: 6 ≤ X₀
t₃₄: eval_foo_bb6_in(X₀, X₁) → eval_foo_stop(X₀, X₁) :|: 0 ≤ X₀ ∧ X₀ ≤ 0
t₃₅: eval_foo_start(X₀, X₁) → eval_foo_bb0_in(X₀, X₁)

Found invariant 1 ≤ X₀+X₁ ∧ 7 ≤ X₀ for location eval_foo_bb4_in_v2

Found invariant 1 ≤ X₀+X₁ ∧ 7 ≤ X₀ for location eval_foo_bb1_in_v1

Found invariant X₁ ≤ 5 ∧ X₁ ≤ 5+X₀ ∧ X₀+X₁ ≤ 5 ∧ 0 ≤ 5+X₁ ∧ 0 ≤ 5+X₀+X₁ ∧ X₀ ≤ 5+X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb1_in_v3

Found invariant 2+X₀ ≤ X₁ ∧ 7+X₀ ≤ 0 for location eval_foo_bb1_in_v2

Found invariant X₁ ≤ 5 ∧ X₁ ≤ 5+X₀ ∧ X₀+X₁ ≤ 5 ∧ 0 ≤ 5+X₁ ∧ 0 ≤ 5+X₀+X₁ ∧ X₀ ≤ 5+X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_stop

Found invariant 1+X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ 2+X₀+X₁ ≤ 0 ∧ X₀ ≤ X₁ ∧ 1+X₀ ≤ 0 for location eval_foo_bb2_in_v2

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

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

Found invariant 1+X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ 2+X₀+X₁ ≤ 0 ∧ 0 ≤ 5+X₁ ∧ 0 ≤ 10+X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1+X₀ ≤ 0 ∧ 0 ≤ 5+X₀ for location eval_foo_bb4_in_v1

Found invariant X₁ ≤ 5 ∧ X₁ ≤ 5+X₀ ∧ X₀+X₁ ≤ 5 ∧ 0 ≤ 5+X₁ ∧ 0 ≤ 5+X₀+X₁ ∧ X₀ ≤ 5+X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb6_in

Found invariant 1 ≤ X₀+X₁ ∧ 7 ≤ X₀ for location eval_foo_bb2_in_v3

Found invariant 2+X₀ ≤ X₁ ∧ 7+X₀ ≤ 0 for location eval_foo_bb3_in_v2

Found invariant 2+X₀ ≤ X₁ ∧ 7+X₀ ≤ 0 for location eval_foo_bb2_in_v4

Found invariant X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_foo_bb4_in_v3

Found invariant 1 ≤ X₀+X₁ ∧ 7 ≤ X₀ for location eval_foo_bb5_in_v1

Found invariant 6+X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ 12+X₀+X₁ ≤ 0 ∧ X₀ ≤ X₁ ∧ 6+X₀ ≤ 0 for location eval_foo_bb3_in_v1

Found invariant X₁ ≤ X₀ ∧ 6 ≤ X₁ ∧ 12 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 6 ≤ X₀ for location eval_foo_bb5_in_v2

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₂₄: 1 {O(1)}
t₂₅: inf {Infinity}
t₂₆: inf {Infinity}
t₂₇: 1 {O(1)}
t₂₈: inf {Infinity}
t₂₉: inf {Infinity}
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}
t₂₄: 1 {O(1)}
t₂₅: inf {Infinity}
t₂₆: inf {Infinity}
t₂₇: 1 {O(1)}
t₂₈: inf {Infinity}
t₂₉: inf {Infinity}
t₃₀: inf {Infinity}
t₃₁: inf {Infinity}
t₃₂: inf {Infinity}
t₃₃: inf {Infinity}
t₃₄: 1 {O(1)}
t₃₅: 1 {O(1)}

Sizebounds

t₂₄, X₀: X₁ {O(n)}
t₂₄, X₁: X₁ {O(n)}
t₂₅, X₁: X₁ {O(n)}
t₂₆, X₁: X₁ {O(n)}
t₂₇, X₀: 0 {O(1)}
t₂₇, X₁: 2⋅X₁ {O(n)}
t₂₈, X₁: X₁ {O(n)}
t₂₉, X₁: X₁ {O(n)}
t₃₀, X₁: X₁ {O(n)}
t₃₁, X₀: 0 {O(1)}
t₃₁, X₁: X₁ {O(n)}
t₃₂, X₁: X₁ {O(n)}
t₃₃, X₁: X₁ {O(n)}
t₃₄, X₀: 0 {O(1)}
t₃₄, X₁: 2⋅X₁ {O(n)}
t₃₅, X₀: X₀ {O(n)}
t₃₅, X₁: X₁ {O(n)}