Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: H, I
Locations: l0, l1, l2, l3, l4, l5, l6
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(2, H, I, 0, X₄, X₅, X₆)
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, 0, X₅, X₆) :|: X₃+1 ≤ X₀
t₁₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₁₄: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃+1, X₄, X₅, X₆) :|: X₀ ≤ X₄
t₂: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄+1, X₅, X₆) :|: X₄+1 ≤ X₀
t₃: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, 0, X₅, X₆) :|: X₃+1 ≤ X₀
t₈: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, 0) :|: X₀ ≤ X₃
t₉: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, 1) :|: X₀ ≤ X₃ ∧ H ≤ 49
t₁₀: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, 1) :|: X₀ ≤ X₃
t₁₁: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, 1) :|: X₀ ≤ X₃ ∧ H ≤ 42
t₁₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, 1) :|: X₀ ≤ X₃ ∧ H ≤ 21
t₁₃: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, 1) :|: X₀ ≤ X₃ ∧ H ≤ 18
t₇: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃+1, X₄, X₅, X₆) :|: X₀ ≤ X₄
t₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, X₃, X₄, 0, X₆) :|: X₄+1 ≤ X₀
t₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄+1, X₅, X₆) :|: X₀ ≤ X₅
t₅: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, X₃, X₄, X₅+1, X₆) :|: X₅+1 ≤ X₀
Preprocessing
Eliminate variables {I,X₁,X₂,X₆} that do not contribute to the problem
Found invariant X₂ ≤ 2 ∧ X₂ ≤ 2+X₁ ∧ X₁+X₂ ≤ 3 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ for location l2
Found invariant X₃ ≤ 2 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₁+X₃ ≤ 3 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 4 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ 1+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ 2+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₁ ∧ X₁+X₂ ≤ 2 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ for location l6
Found invariant X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 2 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ for location l5
Found invariant X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ for location l1
Found invariant X₂ ≤ 2 ∧ X₂ ≤ 2+X₁ ∧ X₁+X₂ ≤ 3 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ for location l4
Found invariant X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ for location l3
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: H
Locations: l0, l1, l2, l3, l4, l5, l6
Transitions:
t₃₃: l0(X₀, X₁, X₂, X₃) → l1(2, 0, X₂, X₃)
t₃₄: l1(X₀, X₁, X₂, X₃) → l2(X₀, X₁, 0, X₃) :|: X₁+1 ≤ X₀ ∧ X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₃₅: l1(X₀, X₁, X₂, X₃) → l3(X₀, 0, X₂, X₃) :|: X₀ ≤ X₁ ∧ X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₃₆: l2(X₀, X₁, X₂, X₃) → l1(X₀, X₁+1, X₂, X₃) :|: X₀ ≤ X₂ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₁ ∧ X₁+X₂ ≤ 3 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₃₇: l2(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂+1, X₃) :|: X₂+1 ≤ X₀ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₁ ∧ X₁+X₂ ≤ 3 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₃₈: l3(X₀, X₁, X₂, X₃) → l4(X₀, X₁, 0, X₃) :|: X₁+1 ≤ X₀ ∧ X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₃₉: l3(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₁ ∧ X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₄₀: l3(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₁ ∧ H ≤ 49 ∧ X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₄₁: l3(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₁ ∧ X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₄₂: l3(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₁ ∧ H ≤ 42 ∧ X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₄₃: l3(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₁ ∧ H ≤ 21 ∧ X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₄₄: l3(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₁ ∧ H ≤ 18 ∧ X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₄₅: l4(X₀, X₁, X₂, X₃) → l3(X₀, X₁+1, X₂, X₃) :|: X₀ ≤ X₂ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₁ ∧ X₁+X₂ ≤ 3 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₄₆: l4(X₀, X₁, X₂, X₃) → l6(X₀, X₁, X₂, 0) :|: X₂+1 ≤ X₀ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₁ ∧ X₁+X₂ ≤ 3 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₄₇: l6(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂+1, X₃) :|: X₀ ≤ X₃ ∧ X₃ ≤ 2 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₁+X₃ ≤ 3 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 4 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ 1+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ 2+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₁ ∧ X₁+X₂ ≤ 2 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
t₄₈: l6(X₀, X₁, X₂, X₃) → l6(X₀, X₁, X₂, X₃+1) :|: X₃+1 ≤ X₀ ∧ X₃ ≤ 2 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₁+X₃ ≤ 3 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 4 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ 1+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ 2+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₁ ∧ X₁+X₂ ≤ 2 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀
MPRF for transition t₃₄: l1(X₀, X₁, X₂, X₃) → l2(X₀, X₁, 0, X₃) :|: X₁+1 ≤ X₀ ∧ X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ of depth 1:
new bound:
3 {O(1)}
MPRF for transition t₃₆: l2(X₀, X₁, X₂, X₃) → l1(X₀, X₁+1, X₂, X₃) :|: X₀ ≤ X₂ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₁ ∧ X₁+X₂ ≤ 3 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ of depth 1:
new bound:
2 {O(1)}
MPRF for transition t₃₇: l2(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂+1, X₃) :|: X₂+1 ≤ X₀ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₁ ∧ X₁+X₂ ≤ 3 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ of depth 1:
new bound:
5 {O(1)}
MPRF for transition t₃₈: l3(X₀, X₁, X₂, X₃) → l4(X₀, X₁, 0, X₃) :|: X₁+1 ≤ X₀ ∧ X₁ ≤ 2 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ of depth 1:
new bound:
3 {O(1)}
MPRF for transition t₄₅: l4(X₀, X₁, X₂, X₃) → l3(X₀, X₁+1, X₂, X₃) :|: X₀ ≤ X₂ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₁ ∧ X₁+X₂ ≤ 3 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ of depth 1:
new bound:
2 {O(1)}
MPRF for transition t₄₆: l4(X₀, X₁, X₂, X₃) → l6(X₀, X₁, X₂, 0) :|: X₂+1 ≤ X₀ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₁ ∧ X₁+X₂ ≤ 3 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ of depth 1:
new bound:
5 {O(1)}
MPRF for transition t₄₇: l6(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂+1, X₃) :|: X₀ ≤ X₃ ∧ X₃ ≤ 2 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₁+X₃ ≤ 3 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 4 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ 1+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ 2+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₁ ∧ X₁+X₂ ≤ 2 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ of depth 1:
new bound:
4 {O(1)}
MPRF for transition t₄₈: l6(X₀, X₁, X₂, X₃) → l6(X₀, X₁, X₂, X₃+1) :|: X₃+1 ≤ X₀ ∧ X₃ ≤ 2 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₁+X₃ ≤ 3 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 4 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ 1+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ 2+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₁ ∧ X₁+X₂ ≤ 2 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2 ∧ 2 ≤ X₀ of depth 1:
new bound:
10 {O(1)}
All Bounds
Timebounds
Overall timebound:42 {O(1)}
t₃₃: 1 {O(1)}
t₃₄: 3 {O(1)}
t₃₅: 1 {O(1)}
t₃₆: 2 {O(1)}
t₃₇: 5 {O(1)}
t₃₈: 3 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 1 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 1 {O(1)}
t₄₃: 1 {O(1)}
t₄₄: 1 {O(1)}
t₄₅: 2 {O(1)}
t₄₆: 5 {O(1)}
t₄₇: 4 {O(1)}
t₄₈: 10 {O(1)}
Costbounds
Overall costbound: 42 {O(1)}
t₃₃: 1 {O(1)}
t₃₄: 3 {O(1)}
t₃₅: 1 {O(1)}
t₃₆: 2 {O(1)}
t₃₇: 5 {O(1)}
t₃₈: 3 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 1 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 1 {O(1)}
t₄₃: 1 {O(1)}
t₄₄: 1 {O(1)}
t₄₅: 2 {O(1)}
t₄₆: 5 {O(1)}
t₄₇: 4 {O(1)}
t₄₈: 10 {O(1)}
Sizebounds
t₃₃, X₀: 2 {O(1)}
t₃₃, X₁: 0 {O(1)}
t₃₃, X₂: X₂ {O(n)}
t₃₃, X₃: X₃ {O(n)}
t₃₄, X₀: 2 {O(1)}
t₃₄, X₁: 1 {O(1)}
t₃₄, X₂: 0 {O(1)}
t₃₄, X₃: X₃ {O(n)}
t₃₅, X₀: 2 {O(1)}
t₃₅, X₁: 0 {O(1)}
t₃₅, X₂: 2 {O(1)}
t₃₅, X₃: X₃ {O(n)}
t₃₆, X₀: 2 {O(1)}
t₃₆, X₁: 2 {O(1)}
t₃₆, X₂: 2 {O(1)}
t₃₆, X₃: X₃ {O(n)}
t₃₇, X₀: 2 {O(1)}
t₃₇, X₁: 1 {O(1)}
t₃₇, X₂: 2 {O(1)}
t₃₇, X₃: X₃ {O(n)}
t₃₈, X₀: 2 {O(1)}
t₃₈, X₁: 1 {O(1)}
t₃₈, X₂: 0 {O(1)}
t₃₈, X₃: X₃+2 {O(n)}
t₃₉, X₀: 2 {O(1)}
t₃₉, X₁: 2 {O(1)}
t₃₉, X₂: 2 {O(1)}
t₃₉, X₃: 2 {O(1)}
t₄₀, X₀: 2 {O(1)}
t₄₀, X₁: 2 {O(1)}
t₄₀, X₂: 2 {O(1)}
t₄₀, X₃: 2 {O(1)}
t₄₁, X₀: 2 {O(1)}
t₄₁, X₁: 2 {O(1)}
t₄₁, X₂: 2 {O(1)}
t₄₁, X₃: 2 {O(1)}
t₄₂, X₀: 2 {O(1)}
t₄₂, X₁: 2 {O(1)}
t₄₂, X₂: 2 {O(1)}
t₄₂, X₃: 2 {O(1)}
t₄₃, X₀: 2 {O(1)}
t₄₃, X₁: 2 {O(1)}
t₄₃, X₂: 2 {O(1)}
t₄₃, X₃: 2 {O(1)}
t₄₄, X₀: 2 {O(1)}
t₄₄, X₁: 2 {O(1)}
t₄₄, X₂: 2 {O(1)}
t₄₄, X₃: 2 {O(1)}
t₄₅, X₀: 2 {O(1)}
t₄₅, X₁: 2 {O(1)}
t₄₅, X₂: 2 {O(1)}
t₄₅, X₃: 2 {O(1)}
t₄₆, X₀: 2 {O(1)}
t₄₆, X₁: 1 {O(1)}
t₄₆, X₂: 1 {O(1)}
t₄₆, X₃: 0 {O(1)}
t₄₇, X₀: 2 {O(1)}
t₄₇, X₁: 1 {O(1)}
t₄₇, X₂: 2 {O(1)}
t₄₇, X₃: 2 {O(1)}
t₄₈, X₀: 2 {O(1)}
t₄₈, X₁: 1 {O(1)}
t₄₈, X₂: 1 {O(1)}
t₄₈, X₃: 2 {O(1)}