Initial Problem

Start: eval_catmouse_start
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: eval_catmouse_bb0_in, eval_catmouse_bb1_in, eval_catmouse_bb2_in, eval_catmouse_bb3_in, eval_catmouse_start, eval_catmouse_stop
Transitions:
t₁: eval_catmouse_bb0_in(X₀, X₁, X₂) → eval_catmouse_bb1_in(X₀, X₁, 0)
t₂: eval_catmouse_bb1_in(X₀, X₁, X₂) → eval_catmouse_bb2_in(X₀, X₁, X₂) :|: X₂ ≤ X₁
t₃: eval_catmouse_bb1_in(X₀, X₁, X₂) → eval_catmouse_bb3_in(X₀, X₁, X₂) :|: 1+X₁ ≤ X₂
t₄: eval_catmouse_bb2_in(X₀, X₁, X₂) → eval_catmouse_bb1_in(X₀, X₁, 1+X₂) :|: X₂ ≤ X₀
t₅: eval_catmouse_bb2_in(X₀, X₁, X₂) → eval_catmouse_bb1_in(X₀, X₁, X₂-1) :|: 1+X₀ ≤ X₂
t₆: eval_catmouse_bb3_in(X₀, X₁, X₂) → eval_catmouse_stop(X₀, X₁, X₂)
t₀: eval_catmouse_start(X₀, X₁, X₂) → eval_catmouse_bb0_in(X₀, X₁, X₂)

Preprocessing

Found invariant 1+X₁ ≤ X₂ for location eval_catmouse_stop

Found invariant 1+X₁ ≤ X₂ for location eval_catmouse_bb3_in

Found invariant X₂ ≤ X₁ for location eval_catmouse_bb2_in

Problem after Preprocessing

Start: eval_catmouse_start
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: eval_catmouse_bb0_in, eval_catmouse_bb1_in, eval_catmouse_bb2_in, eval_catmouse_bb3_in, eval_catmouse_start, eval_catmouse_stop
Transitions:
t₁: eval_catmouse_bb0_in(X₀, X₁, X₂) → eval_catmouse_bb1_in(X₀, X₁, 0)
t₂: eval_catmouse_bb1_in(X₀, X₁, X₂) → eval_catmouse_bb2_in(X₀, X₁, X₂) :|: X₂ ≤ X₁
t₃: eval_catmouse_bb1_in(X₀, X₁, X₂) → eval_catmouse_bb3_in(X₀, X₁, X₂) :|: 1+X₁ ≤ X₂
t₄: eval_catmouse_bb2_in(X₀, X₁, X₂) → eval_catmouse_bb1_in(X₀, X₁, 1+X₂) :|: X₂ ≤ X₀ ∧ X₂ ≤ X₁
t₅: eval_catmouse_bb2_in(X₀, X₁, X₂) → eval_catmouse_bb1_in(X₀, X₁, X₂-1) :|: 1+X₀ ≤ X₂ ∧ X₂ ≤ X₁
t₆: eval_catmouse_bb3_in(X₀, X₁, X₂) → eval_catmouse_stop(X₀, X₁, X₂) :|: 1+X₁ ≤ X₂
t₀: eval_catmouse_start(X₀, X₁, X₂) → eval_catmouse_bb0_in(X₀, X₁, X₂)

Found invariant 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 1+X₀ ≤ X₁ for location eval_catmouse_bb1_in_v3

Found invariant 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ for location eval_catmouse_stop

Found invariant 1+X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 2+X₀+X₂ ≤ 0 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ 0 for location eval_catmouse_bb1_in_v1

Found invariant X₂ ≤ 0 ∧ 0 ≤ X₂ for location eval_catmouse_bb1_in

Found invariant X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 1+X₀ ≤ X₁ for location eval_catmouse_bb1_in_v4

Found invariant X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_catmouse_bb2_in_v2

Found invariant 1+X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 2+X₀+X₂ ≤ 0 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ 0 for location eval_catmouse_bb2_in_v5

Found invariant X₂ ≤ 1+X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_catmouse_bb1_in_v2

Found invariant 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 1+X₀ ≤ X₁ for location eval_catmouse_bb2_in_v3

Found invariant 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ for location eval_catmouse_bb3_in

Found invariant X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 1+X₀ ≤ X₁ for location eval_catmouse_bb2_in_v4

Found invariant X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁ for location eval_catmouse_bb2_in_v1

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: 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: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: 0 {O(1)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₃, X₀: 2⋅X₀ {O(n)}
t₃, X₁: 2⋅X₁ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₆, X₀: 2⋅X₀ {O(n)}
t₆, X₁: 2⋅X₁ {O(n)}