Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₂: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₀
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ < 0
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₆, 73, 74, X₃, X₄, X₅, X₆)
t₄: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀-X₁, X₂+1, X₁+1, X₃, X₄, X₅, X₆)
t₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Preprocessing

Eliminate variables {X₃,X₄,X₅} that do not contribute to the problem

Found invariant X₀ ≤ X₆ ∧ X₂ ≤ 1+X₁ ∧ 74 ≤ X₂ ∧ 147 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 75+X₀ ≤ X₂ ∧ 73 ≤ X₁ ∧ 74+X₀ ≤ X₁ ∧ 1+X₀ ≤ 0 for location l5

Found invariant X₀ ≤ X₆ ∧ X₂ ≤ 1+X₁ ∧ 74 ≤ X₂ ∧ 147 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 73 ≤ X₁ for location l1

Found invariant X₀ ≤ X₆ ∧ X₂ ≤ 1+X₁ ∧ 74 ≤ X₂ ∧ 147 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 75+X₀ ≤ X₂ ∧ 73 ≤ X₁ ∧ 74+X₀ ≤ X₁ ∧ 1+X₀ ≤ 0 for location l4

Found invariant 0 ≤ X₆ ∧ 74 ≤ X₂+X₆ ∧ 73 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ 1+X₁ ∧ 74 ≤ X₂ ∧ 147 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 74 ≤ X₀+X₂ ∧ 73 ≤ X₁ ∧ 73 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l3

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₆
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₁₂: l0(X₀, X₁, X₂, X₆) → l2(X₀, X₁, X₂, X₆)
t₁₃: l1(X₀, X₁, X₂, X₆) → l3(X₀, X₁, X₂, X₆) :|: 0 ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₂ ≤ 1+X₁ ∧ 74 ≤ X₂ ∧ 147 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 73 ≤ X₁
t₁₄: l1(X₀, X₁, X₂, X₆) → l4(X₀, X₁, X₂, X₆) :|: X₀ < 0 ∧ X₀ ≤ X₆ ∧ X₂ ≤ 1+X₁ ∧ 74 ≤ X₂ ∧ 147 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 73 ≤ X₁
t₁₅: l2(X₀, X₁, X₂, X₆) → l1(X₆, 73, 74, X₆)
t₁₆: l3(X₀, X₁, X₂, X₆) → l1(X₀-X₁, X₂+1, X₁+1, X₆) :|: 0 ≤ X₆ ∧ 74 ≤ X₂+X₆ ∧ 73 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ 1+X₁ ∧ 74 ≤ X₂ ∧ 147 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 74 ≤ X₀+X₂ ∧ 73 ≤ X₁ ∧ 73 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₁₇: l4(X₀, X₁, X₂, X₆) → l5(X₀, X₁, X₂, X₆) :|: X₀ ≤ X₆ ∧ X₂ ≤ 1+X₁ ∧ 74 ≤ X₂ ∧ 147 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 75+X₀ ≤ X₂ ∧ 73 ≤ X₁ ∧ 74+X₀ ≤ X₁ ∧ 1+X₀ ≤ 0

Analysing control-flow refined program

Found invariant X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 74 ≤ X₂+X₆ ∧ X₂ ≤ 74+X₆ ∧ 73 ≤ X₁+X₆ ∧ X₁ ≤ 73+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ 74 ∧ X₂ ≤ 1+X₁ ∧ X₁+X₂ ≤ 147 ∧ X₂ ≤ 74+X₀ ∧ 74 ≤ X₂ ∧ 147 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 74 ≤ X₀+X₂ ∧ X₁ ≤ 73 ∧ X₁ ≤ 73+X₀ ∧ 73 ≤ X₁ ∧ 73 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location n_l3___3

Found invariant 0 ≤ X₆ ∧ 74 ≤ X₂+X₆ ∧ X₂ ≤ 74+X₆ ∧ 75 ≤ X₁+X₆ ∧ X₁ ≤ 75+X₆ ∧ 0 ≤ 73+X₀+X₆ ∧ 73+X₀ ≤ X₆ ∧ X₂ ≤ 1+X₁ ∧ 74 ≤ X₂ ∧ 149 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 1 ≤ X₀+X₂ ∧ 75 ≤ X₁ ∧ 0 ≤ X₀+X₁ for location n_l1___2

Found invariant X₀ ≤ X₆ ∧ X₂ ≤ 1+X₁ ∧ 74 ≤ X₂ ∧ 147 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 75+X₀ ≤ X₂ ∧ 73 ≤ X₁ ∧ 74+X₀ ≤ X₁ ∧ 1+X₀ ≤ 0 for location l5

Found invariant X₆ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₂ ≤ 74 ∧ X₂ ≤ 1+X₁ ∧ X₁+X₂ ≤ 147 ∧ 74 ≤ X₂ ∧ 147 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ X₁ ≤ 73 ∧ 73 ≤ X₁ for location l1

Found invariant X₀ ≤ X₆ ∧ X₂ ≤ 1+X₁ ∧ 74 ≤ X₂ ∧ 147 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 75+X₀ ≤ X₂ ∧ 73 ≤ X₁ ∧ 74+X₀ ≤ X₁ ∧ 1+X₀ ≤ 0 for location l4

Found invariant 73 ≤ X₆ ∧ 147 ≤ X₂+X₆ ∧ 148 ≤ X₁+X₆ ∧ 73 ≤ X₀+X₆ ∧ 73+X₀ ≤ X₆ ∧ X₂ ≤ 1+X₁ ∧ 74 ≤ X₂ ∧ 149 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 74 ≤ X₀+X₂ ∧ 75 ≤ X₁ ∧ 75 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location n_l3___1

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₂: 1 {O(1)}
t₁₃: inf {Infinity}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₁₆: inf {Infinity}
t₁₇: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₁₂: 1 {O(1)}
t₁₃: inf {Infinity}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₁₆: inf {Infinity}
t₁₇: 1 {O(1)}

Sizebounds

t₁₂, X₀: X₀ {O(n)}
t₁₂, X₁: X₁ {O(n)}
t₁₂, X₂: X₂ {O(n)}
t₁₂, X₆: X₆ {O(n)}
t₁₃, X₆: X₆ {O(n)}
t₁₄, X₆: 2⋅X₆ {O(n)}
t₁₅, X₀: X₆ {O(n)}
t₁₅, X₁: 73 {O(1)}
t₁₅, X₂: 74 {O(1)}
t₁₅, X₆: X₆ {O(n)}
t₁₆, X₆: X₆ {O(n)}
t₁₇, X₆: 2⋅X₆ {O(n)}