Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: H
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(-1, -1, 1, X₃, X₄, X₅, X₆)
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂+1, X₃, X₄, X₅, X₆) :|: X₂ ≤ 100
t₁₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, 1, 0, X₅, X₆) :|: 101 ≤ X₂
t₅: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅+1, X₆) :|: X₅ ≤ 99 ∧ X₃+X₅ ≤ 100
t₆: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, 0, X₅+1, H) :|: X₅ ≤ 99 ∧ X₃+X₅ ≤ 100
t₃: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 100 ≤ X₅
t₄: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 99 ∧ 101 ≤ X₅+X₃
t₉: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄+1 ≤ 0
t₁₀: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₄
t₇: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃+1, 0, X₅, X₆) :|: X₄ ≤ 0 ∧ 0 ≤ X₄
t₂: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, 1, 1, X₆) :|: X₃ ≤ 99
t₈: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 100 ≤ X₃

Preprocessing

Eliminate variables {H,X₀,X₁,X₆} that do not contribute to the problem

Found invariant X₃ ≤ 100 ∧ X₃ ≤ 100+X₂ ∧ X₂+X₃ ≤ 101 ∧ X₃ ≤ 99+X₁ ∧ X₁+X₃ ≤ 101 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 201 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ 99+X₃ ∧ 102 ≤ X₀+X₃ ∧ X₀ ≤ 100+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 101 ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 99+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ X₁ ≤ 100 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 201 ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀ for location l2

Found invariant X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 101+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 101 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀ for location l5

Found invariant X₀ ≤ 101 ∧ 1 ≤ X₀ for location l1

Found invariant X₃ ≤ 100 ∧ X₃ ≤ 100+X₂ ∧ X₂+X₃ ≤ 101 ∧ X₃ ≤ 99+X₁ ∧ X₁+X₃ ≤ 101 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 201 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 101 ≤ X₁+X₃ ∧ X₁ ≤ 99+X₃ ∧ 102 ≤ X₀+X₃ ∧ X₀ ≤ 100+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 101 ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 99+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ X₁ ≤ 100 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 201 ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀ for location l4

Found invariant X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀ for location l3

Cut unsatisfiable transition t₃₃: l4→l3

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₂₆: l0(X₀, X₁, X₂, X₃) → l1(1, X₁, X₂, X₃)
t₂₇: l1(X₀, X₁, X₂, X₃) → l1(X₀+1, X₁, X₂, X₃) :|: X₀ ≤ 100 ∧ X₀ ≤ 101 ∧ 1 ≤ X₀
t₂₈: l1(X₀, X₁, X₂, X₃) → l5(X₀, 1, 0, X₃) :|: 101 ≤ X₀ ∧ X₀ ≤ 101 ∧ 1 ≤ X₀
t₂₉: l2(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂, X₃+1) :|: X₃ ≤ 99 ∧ X₁+X₃ ≤ 100 ∧ X₃ ≤ 100 ∧ X₃ ≤ 100+X₂ ∧ X₂+X₃ ≤ 101 ∧ X₃ ≤ 99+X₁ ∧ X₁+X₃ ≤ 101 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 201 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ 99+X₃ ∧ 102 ≤ X₀+X₃ ∧ X₀ ≤ 100+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 101 ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 99+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ X₁ ≤ 100 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 201 ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀
t₃₀: l2(X₀, X₁, X₂, X₃) → l2(X₀, X₁, 0, X₃+1) :|: X₃ ≤ 99 ∧ X₁+X₃ ≤ 100 ∧ X₃ ≤ 100 ∧ X₃ ≤ 100+X₂ ∧ X₂+X₃ ≤ 101 ∧ X₃ ≤ 99+X₁ ∧ X₁+X₃ ≤ 101 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 201 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ 99+X₃ ∧ 102 ≤ X₀+X₃ ∧ X₀ ≤ 100+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 101 ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 99+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ X₁ ≤ 100 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 201 ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀
t₃₁: l2(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: 100 ≤ X₃ ∧ X₃ ≤ 100 ∧ X₃ ≤ 100+X₂ ∧ X₂+X₃ ≤ 101 ∧ X₃ ≤ 99+X₁ ∧ X₁+X₃ ≤ 101 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 201 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ 99+X₃ ∧ 102 ≤ X₀+X₃ ∧ X₀ ≤ 100+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 101 ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 99+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ X₁ ≤ 100 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 201 ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀
t₃₂: l2(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: X₃ ≤ 99 ∧ 101 ≤ X₃+X₁ ∧ X₃ ≤ 100 ∧ X₃ ≤ 100+X₂ ∧ X₂+X₃ ≤ 101 ∧ X₃ ≤ 99+X₁ ∧ X₁+X₃ ≤ 101 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 201 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ 99+X₃ ∧ 102 ≤ X₀+X₃ ∧ X₀ ≤ 100+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 101 ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 99+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ X₁ ≤ 100 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 201 ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀
t₃₄: l4(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃) :|: 1 ≤ X₂ ∧ X₃ ≤ 100 ∧ X₃ ≤ 100+X₂ ∧ X₂+X₃ ≤ 101 ∧ X₃ ≤ 99+X₁ ∧ X₁+X₃ ≤ 101 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 201 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 101 ≤ X₁+X₃ ∧ X₁ ≤ 99+X₃ ∧ 102 ≤ X₀+X₃ ∧ X₀ ≤ 100+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 101 ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 99+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ X₁ ≤ 100 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 201 ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀
t₃₅: l4(X₀, X₁, X₂, X₃) → l5(X₀, X₁+1, 0, X₃) :|: X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ X₃ ≤ 100 ∧ X₃ ≤ 100+X₂ ∧ X₂+X₃ ≤ 101 ∧ X₃ ≤ 99+X₁ ∧ X₁+X₃ ≤ 101 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 201 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 101 ≤ X₁+X₃ ∧ X₁ ≤ 99+X₃ ∧ 102 ≤ X₀+X₃ ∧ X₀ ≤ 100+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 101 ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 99+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ X₁ ≤ 100 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 201 ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀
t₃₆: l5(X₀, X₁, X₂, X₃) → l2(X₀, X₁, 1, 1) :|: X₁ ≤ 99 ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 101+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 101 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀
t₃₇: l5(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃) :|: 100 ≤ X₁ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 101+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 101 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀

MPRF for transition t₂₇: l1(X₀, X₁, X₂, X₃) → l1(X₀+1, X₁, X₂, X₃) :|: X₀ ≤ 100 ∧ X₀ ≤ 101 ∧ 1 ≤ X₀ of depth 1:

new bound:

103 {O(1)}

MPRF for transition t₂₉: l2(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂, X₃+1) :|: X₃ ≤ 99 ∧ X₁+X₃ ≤ 100 ∧ X₃ ≤ 100 ∧ X₃ ≤ 100+X₂ ∧ X₂+X₃ ≤ 101 ∧ X₃ ≤ 99+X₁ ∧ X₁+X₃ ≤ 101 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 201 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ 99+X₃ ∧ 102 ≤ X₀+X₃ ∧ X₀ ≤ 100+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 101 ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 99+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ X₁ ≤ 100 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 201 ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀ of depth 1:

new bound:

1000203 {O(1)}

MPRF for transition t₃₀: l2(X₀, X₁, X₂, X₃) → l2(X₀, X₁, 0, X₃+1) :|: X₃ ≤ 99 ∧ X₁+X₃ ≤ 100 ∧ X₃ ≤ 100 ∧ X₃ ≤ 100+X₂ ∧ X₂+X₃ ≤ 101 ∧ X₃ ≤ 99+X₁ ∧ X₁+X₃ ≤ 101 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 201 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ 99+X₃ ∧ 102 ≤ X₀+X₃ ∧ X₀ ≤ 100+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 101 ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 99+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ X₁ ≤ 100 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 201 ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀ of depth 1:

new bound:

1000203 {O(1)}

MPRF for transition t₃₁: l2(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: 100 ≤ X₃ ∧ X₃ ≤ 100 ∧ X₃ ≤ 100+X₂ ∧ X₂+X₃ ≤ 101 ∧ X₃ ≤ 99+X₁ ∧ X₁+X₃ ≤ 101 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 201 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ 99+X₃ ∧ 102 ≤ X₀+X₃ ∧ X₀ ≤ 100+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 101 ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 99+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ X₁ ≤ 100 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 201 ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀ of depth 1:

new bound:

102 {O(1)}

MPRF for transition t₃₂: l2(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: X₃ ≤ 99 ∧ 101 ≤ X₃+X₁ ∧ X₃ ≤ 100 ∧ X₃ ≤ 100+X₂ ∧ X₂+X₃ ≤ 101 ∧ X₃ ≤ 99+X₁ ∧ X₁+X₃ ≤ 101 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 201 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ 99+X₃ ∧ 102 ≤ X₀+X₃ ∧ X₀ ≤ 100+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 101 ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 99+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ X₁ ≤ 100 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 201 ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀ of depth 1:

new bound:

102 {O(1)}

MPRF for transition t₃₅: l4(X₀, X₁, X₂, X₃) → l5(X₀, X₁+1, 0, X₃) :|: X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ X₃ ≤ 100 ∧ X₃ ≤ 100+X₂ ∧ X₂+X₃ ≤ 101 ∧ X₃ ≤ 99+X₁ ∧ X₁+X₃ ≤ 101 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 201 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 101 ≤ X₁+X₃ ∧ X₁ ≤ 99+X₃ ∧ 102 ≤ X₀+X₃ ∧ X₀ ≤ 100+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 101 ∧ 100+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 102 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 99+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ X₁ ≤ 100 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 201 ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀ of depth 1:

new bound:

102 {O(1)}

MPRF for transition t₃₆: l5(X₀, X₁, X₂, X₃) → l2(X₀, X₁, 1, 1) :|: X₁ ≤ 99 ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 101+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 101 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 101 ≤ X₀+X₂ ∧ X₀ ≤ 101+X₂ ∧ 1 ≤ X₁ ∧ 102 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀ of depth 1:

new bound:

10201 {O(1)}

All Bounds

Timebounds

Overall timebound:2011020 {O(1)}
t₂₆: 1 {O(1)}
t₂₇: 103 {O(1)}
t₂₈: 1 {O(1)}
t₂₉: 1000203 {O(1)}
t₃₀: 1000203 {O(1)}
t₃₁: 102 {O(1)}
t₃₂: 102 {O(1)}
t₃₄: 1 {O(1)}
t₃₅: 102 {O(1)}
t₃₆: 10201 {O(1)}
t₃₇: 1 {O(1)}

Costbounds

Overall costbound: 2011020 {O(1)}
t₂₆: 1 {O(1)}
t₂₇: 103 {O(1)}
t₂₈: 1 {O(1)}
t₂₉: 1000203 {O(1)}
t₃₀: 1000203 {O(1)}
t₃₁: 102 {O(1)}
t₃₂: 102 {O(1)}
t₃₄: 1 {O(1)}
t₃₅: 102 {O(1)}
t₃₆: 10201 {O(1)}
t₃₇: 1 {O(1)}

Sizebounds

t₂₆, X₀: 1 {O(1)}
t₂₆, X₁: X₁ {O(n)}
t₂₆, X₂: X₂ {O(n)}
t₂₆, X₃: X₃ {O(n)}
t₂₇, X₀: 101 {O(1)}
t₂₇, X₁: X₁ {O(n)}
t₂₇, X₂: X₂ {O(n)}
t₂₇, X₃: X₃ {O(n)}
t₂₈, X₀: 101 {O(1)}
t₂₈, X₁: 1 {O(1)}
t₂₈, X₂: 0 {O(1)}
t₂₈, X₃: X₃ {O(n)}
t₂₉, X₀: 101 {O(1)}
t₂₉, X₁: 99 {O(1)}
t₂₉, X₂: 1 {O(1)}
t₂₉, X₃: 100 {O(1)}
t₃₀, X₀: 101 {O(1)}
t₃₀, X₁: 99 {O(1)}
t₃₀, X₂: 0 {O(1)}
t₃₀, X₃: 100 {O(1)}
t₃₁, X₀: 101 {O(1)}
t₃₁, X₁: 1 {O(1)}
t₃₁, X₂: 1 {O(1)}
t₃₁, X₃: 100 {O(1)}
t₃₂, X₀: 101 {O(1)}
t₃₂, X₁: 100 {O(1)}
t₃₂, X₂: 1 {O(1)}
t₃₂, X₃: 99 {O(1)}
t₃₄, X₀: 101 {O(1)}
t₃₄, X₁: 100 {O(1)}
t₃₄, X₂: 1 {O(1)}
t₃₄, X₃: 100 {O(1)}
t₃₅, X₀: 101 {O(1)}
t₃₅, X₁: 100 {O(1)}
t₃₅, X₂: 0 {O(1)}
t₃₅, X₃: 100 {O(1)}
t₃₆, X₀: 101 {O(1)}
t₃₆, X₁: 99 {O(1)}
t₃₆, X₂: 1 {O(1)}
t₃₆, X₃: 1 {O(1)}
t₃₇, X₀: 101 {O(1)}
t₃₇, X₁: 100 {O(1)}
t₃₇, X₂: 0 {O(1)}
t₃₇, X₃: 100 {O(1)}